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Finding the Fourth Proportional to 8,592.30, 11,864.61 and 6,464.15

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Solution

The fourth proportional to 8,592.30, 11,864.61 and 6,464.15 is: 8,925.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,592.30 : 11,864.61 = 6,464.15 : x
  2. Step 2: Convert to fraction form
    8,592.30/11,864.61 = 6,464.15/x
  3. Step 3: Cross multiply
    8,592.30x = 11,864.61 × 6,464.15
  4. Step 4: Simplify right side
    8,592.30x = 76,694,586.41
  5. Step 5: Solve for x
    x = 76,694,586.41/8,592.30
  6. Step 6: Final answer
    x = 8,925.97

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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.