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Finding the Fourth Proportional to 10,915.60, 16,378.24 and 5,720.26

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Solution

The fourth proportional to 10,915.60, 16,378.24 and 5,720.26 is: 8,582.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.60 : 16,378.24 = 5,720.26 : x
  2. Step 2: Convert to fraction form
    10,915.60/16,378.24 = 5,720.26/x
  3. Step 3: Cross multiply
    10,915.60x = 16,378.24 × 5,720.26
  4. Step 4: Simplify right side
    10,915.60x = 93,687,791.14
  5. Step 5: Solve for x
    x = 93,687,791.14/10,915.60
  6. Step 6: Final answer
    x = 8,582.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.