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Finding the Fourth Proportional to 10,668.30, 16,002.45 and 8,465.10

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Solution

The fourth proportional to 10,668.30, 16,002.45 and 8,465.10 is: 12,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,668.30 : 16,002.45 = 8,465.10 : x
  2. Step 2: Convert to fraction form
    10,668.30/16,002.45 = 8,465.10/x
  3. Step 3: Cross multiply
    10,668.30x = 16,002.45 × 8,465.10
  4. Step 4: Simplify right side
    10,668.30x = 135,462,339.50
  5. Step 5: Solve for x
    x = 135,462,339.50/10,668.30
  6. Step 6: Final answer
    x = 12,697.65

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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.