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Finding the Fourth Proportional to 7,433.76, 11,154.96 and 5,864.16

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Solution

The fourth proportional to 7,433.76, 11,154.96 and 5,864.16 is: 8,799.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,433.76 : 11,154.96 = 5,864.16 : x
  2. Step 2: Convert to fraction form
    7,433.76/11,154.96 = 5,864.16/x
  3. Step 3: Cross multiply
    7,433.76x = 11,154.96 × 5,864.16
  4. Step 4: Simplify right side
    7,433.76x = 65,414,470.23
  5. Step 5: Solve for x
    x = 65,414,470.23/7,433.76
  6. Step 6: Final answer
    x = 8,799.65

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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.