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Finding the Fourth Proportional to 7,658.56, 10,569.32 and 5,144.88

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Solution

The fourth proportional to 7,658.56, 10,569.32 and 5,144.88 is: 7,100.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.56 : 10,569.32 = 5,144.88 : x
  2. Step 2: Convert to fraction form
    7,658.56/10,569.32 = 5,144.88/x
  3. Step 3: Cross multiply
    7,658.56x = 10,569.32 × 5,144.88
  4. Step 4: Simplify right side
    7,658.56x = 54,377,883.08
  5. Step 5: Solve for x
    x = 54,377,883.08/7,658.56
  6. Step 6: Final answer
    x = 7,100.28

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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.