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Finding the Fourth Proportional to 10,546.92, 15,808.08 and 5,864.69

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Solution

The fourth proportional to 10,546.92, 15,808.08 and 5,864.69 is: 8,790.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.92 : 15,808.08 = 5,864.69 : x
  2. Step 2: Convert to fraction form
    10,546.92/15,808.08 = 5,864.69/x
  3. Step 3: Cross multiply
    10,546.92x = 15,808.08 × 5,864.69
  4. Step 4: Simplify right side
    10,546.92x = 92,709,409.65
  5. Step 5: Solve for x
    x = 92,709,409.65/10,546.92
  6. Step 6: Final answer
    x = 8,790.19

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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.