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Finding the Fourth Proportional to 10,584.80, 14,607 and 5,868.96

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Solution

The fourth proportional to 10,584.80, 14,607 and 5,868.96 is: 8,099.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.80 : 14,607 = 5,868.96 : x
  2. Step 2: Convert to fraction form
    10,584.80/14,607 = 5,868.96/x
  3. Step 3: Cross multiply
    10,584.80x = 14,607 × 5,868.96
  4. Step 4: Simplify right side
    10,584.80x = 85,727,898.72
  5. Step 5: Solve for x
    x = 85,727,898.72/10,584.80
  6. Step 6: Final answer
    x = 8,099.15

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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.