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Finding the Fourth Proportional to 10,565.84, 15,833.12 and 4,318.31

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Solution

The fourth proportional to 10,565.84, 15,833.12 and 4,318.31 is: 6,471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.84 : 15,833.12 = 4,318.31 : x
  2. Step 2: Convert to fraction form
    10,565.84/15,833.12 = 4,318.31/x
  3. Step 3: Cross multiply
    10,565.84x = 15,833.12 × 4,318.31
  4. Step 4: Simplify right side
    10,565.84x = 68,372,219.67
  5. Step 5: Solve for x
    x = 68,372,219.67/10,565.84
  6. Step 6: Final answer
    x = 6,471.07

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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.