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Finding the Fourth Proportional to 10,034.17, 13,847.01 and 5,557.90

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Solution

The fourth proportional to 10,034.17, 13,847.01 and 5,557.90 is: 7,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.17 : 13,847.01 = 5,557.90 : x
  2. Step 2: Convert to fraction form
    10,034.17/13,847.01 = 5,557.90/x
  3. Step 3: Cross multiply
    10,034.17x = 13,847.01 × 5,557.90
  4. Step 4: Simplify right side
    10,034.17x = 76,960,296.88
  5. Step 5: Solve for x
    x = 76,960,296.88/10,034.17
  6. Step 6: Final answer
    x = 7,669.82

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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.