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Finding the Fourth Proportional to 10,584.78, 14,605.44 and 5,869.10

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Solution

The fourth proportional to 10,584.78, 14,605.44 and 5,869.10 is: 8,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.78 : 14,605.44 = 5,869.10 : x
  2. Step 2: Convert to fraction form
    10,584.78/14,605.44 = 5,869.10/x
  3. Step 3: Cross multiply
    10,584.78x = 14,605.44 × 5,869.10
  4. Step 4: Simplify right side
    10,584.78x = 85,720,787.90
  5. Step 5: Solve for x
    x = 85,720,787.90/10,584.78
  6. Step 6: Final answer
    x = 8,098.49

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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.