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Finding the Fourth Proportional to 7,349.82, 10,135.17 and 5,114.22

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Solution

The fourth proportional to 7,349.82, 10,135.17 and 5,114.22 is: 7,052.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.82 : 10,135.17 = 5,114.22 : x
  2. Step 2: Convert to fraction form
    7,349.82/10,135.17 = 5,114.22/x
  3. Step 3: Cross multiply
    7,349.82x = 10,135.17 × 5,114.22
  4. Step 4: Simplify right side
    7,349.82x = 51,833,489.12
  5. Step 5: Solve for x
    x = 51,833,489.12/7,349.82
  6. Step 6: Final answer
    x = 7,052.35

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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.