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Finding the Fourth Proportional to 10,432.77, 14,397.10 and 5,652.62

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Solution

The fourth proportional to 10,432.77, 14,397.10 and 5,652.62 is: 7,800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.77 : 14,397.10 = 5,652.62 : x
  2. Step 2: Convert to fraction form
    10,432.77/14,397.10 = 5,652.62/x
  3. Step 3: Cross multiply
    10,432.77x = 14,397.10 × 5,652.62
  4. Step 4: Simplify right side
    10,432.77x = 81,381,335.40
  5. Step 5: Solve for x
    x = 81,381,335.40/10,432.77
  6. Step 6: Final answer
    x = 7,800.55

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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.