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Finding the Fourth Proportional to 7,599.74, 11,385.90 and 7,142.27

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Solution

The fourth proportional to 7,599.74, 11,385.90 and 7,142.27 is: 10,700.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,599.74 : 11,385.90 = 7,142.27 : x
  2. Step 2: Convert to fraction form
    7,599.74/11,385.90 = 7,142.27/x
  3. Step 3: Cross multiply
    7,599.74x = 11,385.90 × 7,142.27
  4. Step 4: Simplify right side
    7,599.74x = 81,321,115.06
  5. Step 5: Solve for x
    x = 81,321,115.06/7,599.74
  6. Step 6: Final answer
    x = 10,700.52

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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.