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Finding the Fourth Proportional to 7,496.86, 10,347.34 and 5,614.24

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Solution

The fourth proportional to 7,496.86, 10,347.34 and 5,614.24 is: 7,748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.86 : 10,347.34 = 5,614.24 : x
  2. Step 2: Convert to fraction form
    7,496.86/10,347.34 = 5,614.24/x
  3. Step 3: Cross multiply
    7,496.86x = 10,347.34 × 5,614.24
  4. Step 4: Simplify right side
    7,496.86x = 58,092,450.12
  5. Step 5: Solve for x
    x = 58,092,450.12/7,496.86
  6. Step 6: Final answer
    x = 7,748.90

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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.