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Finding the Fourth Proportional to 10,585.52, 14,607.06 and 5,869.79

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Solution

The fourth proportional to 10,585.52, 14,607.06 and 5,869.79 is: 8,099.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.52 : 14,607.06 = 5,869.79 : x
  2. Step 2: Convert to fraction form
    10,585.52/14,607.06 = 5,869.79/x
  3. Step 3: Cross multiply
    10,585.52x = 14,607.06 × 5,869.79
  4. Step 4: Simplify right side
    10,585.52x = 85,740,374.72
  5. Step 5: Solve for x
    x = 85,740,374.72/10,585.52
  6. Step 6: Final answer
    x = 8,099.78

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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.