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Finding the Fourth Proportional to 8,653.24, 12,967.68 and 4,949.92

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Solution

The fourth proportional to 8,653.24, 12,967.68 and 4,949.92 is: 7,417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.24 : 12,967.68 = 4,949.92 : x
  2. Step 2: Convert to fraction form
    8,653.24/12,967.68 = 4,949.92/x
  3. Step 3: Cross multiply
    8,653.24x = 12,967.68 × 4,949.92
  4. Step 4: Simplify right side
    8,653.24x = 64,188,978.59
  5. Step 5: Solve for x
    x = 64,188,978.59/8,653.24
  6. Step 6: Final answer
    x = 7,417.91

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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.