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Finding the Fourth Proportional to 10,584.75, 14,607.04 and 5,869.04

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Solution

The fourth proportional to 10,584.75, 14,607.04 and 5,869.04 is: 8,099.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.75 : 14,607.04 = 5,869.04 : x
  2. Step 2: Convert to fraction form
    10,584.75/14,607.04 = 5,869.04/x
  3. Step 3: Cross multiply
    10,584.75x = 14,607.04 × 5,869.04
  4. Step 4: Simplify right side
    10,584.75x = 85,729,214.33
  5. Step 5: Solve for x
    x = 85,729,214.33/10,584.75
  6. Step 6: Final answer
    x = 8,099.31

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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.