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Finding the Fourth Proportional to 10,612.52, 14,646.02 and 6,137.16

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Solution

The fourth proportional to 10,612.52, 14,646.02 and 6,137.16 is: 8,469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.52 : 14,646.02 = 6,137.16 : x
  2. Step 2: Convert to fraction form
    10,612.52/14,646.02 = 6,137.16/x
  3. Step 3: Cross multiply
    10,612.52x = 14,646.02 × 6,137.16
  4. Step 4: Simplify right side
    10,612.52x = 89,884,968.10
  5. Step 5: Solve for x
    x = 89,884,968.10/10,612.52
  6. Step 6: Final answer
    x = 8,469.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.