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Finding the Fourth Proportional to 10,596.64, 15,899.46 and 5,665

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Solution

The fourth proportional to 10,596.64, 15,899.46 and 5,665 is: 8,499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.64 : 15,899.46 = 5,665 : x
  2. Step 2: Convert to fraction form
    10,596.64/15,899.46 = 5,665/x
  3. Step 3: Cross multiply
    10,596.64x = 15,899.46 × 5,665
  4. Step 4: Simplify right side
    10,596.64x = 90,070,440.90
  5. Step 5: Solve for x
    x = 90,070,440.90/10,596.64
  6. Step 6: Final answer
    x = 8,499.91

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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.