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Finding the Fourth Proportional to 10,688.61, 14,740.70 and 8,902.02

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Solution

The fourth proportional to 10,688.61, 14,740.70 and 8,902.02 is: 12,276.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.61 : 14,740.70 = 8,902.02 : x
  2. Step 2: Convert to fraction form
    10,688.61/14,740.70 = 8,902.02/x
  3. Step 3: Cross multiply
    10,688.61x = 14,740.70 × 8,902.02
  4. Step 4: Simplify right side
    10,688.61x = 131,222,006.21
  5. Step 5: Solve for x
    x = 131,222,006.21/10,688.61
  6. Step 6: Final answer
    x = 12,276.81

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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.