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Finding the Fourth Proportional to 8,665.08, 11,947.82 and 7,402.29

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Solution

The fourth proportional to 8,665.08, 11,947.82 and 7,402.29 is: 10,206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.08 : 11,947.82 = 7,402.29 : x
  2. Step 2: Convert to fraction form
    8,665.08/11,947.82 = 7,402.29/x
  3. Step 3: Cross multiply
    8,665.08x = 11,947.82 × 7,402.29
  4. Step 4: Simplify right side
    8,665.08x = 88,441,191.50
  5. Step 5: Solve for x
    x = 88,441,191.50/8,665.08
  6. Step 6: Final answer
    x = 10,206.62

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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.