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Finding the Fourth Proportional to 8,651,141.38, 12,978,002.21 and 3,185,815.86

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Solution

The fourth proportional to 8,651,141.38, 12,978,002.21 and 3,185,815.86 is: 4,779,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,651,141.38 : 12,978,002.21 = 3,185,815.86 : x
  2. Step 2: Convert to fraction form
    8,651,141.38/12,978,002.21 = 3,185,815.86/x
  3. Step 3: Cross multiply
    8,651,141.38x = 12,978,002.21 × 3,185,815.86
  4. Step 4: Simplify right side
    8,651,141.38x = 41,345,525,271,733.05
  5. Step 5: Solve for x
    x = 41,345,525,271,733.05/8,651,141.38
  6. Step 6: Final answer
    x = 4,779,198.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.