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Finding the Fourth Proportional to 10,688.68, 14,750.35 and 5,972.97

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Solution

The fourth proportional to 10,688.68, 14,750.35 and 5,972.97 is: 8,242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.68 : 14,750.35 = 5,972.97 : x
  2. Step 2: Convert to fraction form
    10,688.68/14,750.35 = 5,972.97/x
  3. Step 3: Cross multiply
    10,688.68x = 14,750.35 × 5,972.97
  4. Step 4: Simplify right side
    10,688.68x = 88,103,398.04
  5. Step 5: Solve for x
    x = 88,103,398.04/10,688.68
  6. Step 6: Final answer
    x = 8,242.68

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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.