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Finding the Fourth Proportional to 7,748.46, 10,691.07 and 5,235.24

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Solution

The fourth proportional to 7,748.46, 10,691.07 and 5,235.24 is: 7,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.46 : 10,691.07 = 5,235.24 : x
  2. Step 2: Convert to fraction form
    7,748.46/10,691.07 = 5,235.24/x
  3. Step 3: Cross multiply
    7,748.46x = 10,691.07 × 5,235.24
  4. Step 4: Simplify right side
    7,748.46x = 55,970,317.31
  5. Step 5: Solve for x
    x = 55,970,317.31/7,748.46
  6. Step 6: Final answer
    x = 7,223.41

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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.