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Finding the Fourth Proportional to 11,280.92, 16,902.89 and 7,988.10

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Solution

The fourth proportional to 11,280.92, 16,902.89 and 7,988.10 is: 11,969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280.92 : 16,902.89 = 7,988.10 : x
  2. Step 2: Convert to fraction form
    11,280.92/16,902.89 = 7,988.10/x
  3. Step 3: Cross multiply
    11,280.92x = 16,902.89 × 7,988.10
  4. Step 4: Simplify right side
    11,280.92x = 135,021,935.67
  5. Step 5: Solve for x
    x = 135,021,935.67/11,280.92
  6. Step 6: Final answer
    x = 11,969.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.