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Finding the Fourth Proportional to 11,906.69, 16,432.43 and 6,602.52

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Solution

The fourth proportional to 11,906.69, 16,432.43 and 6,602.52 is: 9,112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.69 : 16,432.43 = 6,602.52 : x
  2. Step 2: Convert to fraction form
    11,906.69/16,432.43 = 6,602.52/x
  3. Step 3: Cross multiply
    11,906.69x = 16,432.43 × 6,602.52
  4. Step 4: Simplify right side
    11,906.69x = 108,495,414.71
  5. Step 5: Solve for x
    x = 108,495,414.71/11,906.69
  6. Step 6: Final answer
    x = 9,112.14

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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.