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Finding the Fourth Proportional to 10,685.56, 14,732.58 and 6,902.32

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Solution

The fourth proportional to 10,685.56, 14,732.58 and 6,902.32 is: 9,516.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.56 : 14,732.58 = 6,902.32 : x
  2. Step 2: Convert to fraction form
    10,685.56/14,732.58 = 6,902.32/x
  3. Step 3: Cross multiply
    10,685.56x = 14,732.58 × 6,902.32
  4. Step 4: Simplify right side
    10,685.56x = 101,688,981.59
  5. Step 5: Solve for x
    x = 101,688,981.59/10,685.56
  6. Step 6: Final answer
    x = 9,516.49

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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.