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Finding the Fourth Proportional to 10,584.48, 14,606.24 and 5,869.11

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Solution

The fourth proportional to 10,584.48, 14,606.24 and 5,869.11 is: 8,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.48 : 14,606.24 = 5,869.11 : x
  2. Step 2: Convert to fraction form
    10,584.48/14,606.24 = 5,869.11/x
  3. Step 3: Cross multiply
    10,584.48x = 14,606.24 × 5,869.11
  4. Step 4: Simplify right side
    10,584.48x = 85,725,599.90
  5. Step 5: Solve for x
    x = 85,725,599.90/10,584.48
  6. Step 6: Final answer
    x = 8,099.18

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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.