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Finding the Fourth Proportional to 7,648.80, 10,560.42 and 5,877.24

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Solution

The fourth proportional to 7,648.80, 10,560.42 and 5,877.24 is: 8,114.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.80 : 10,560.42 = 5,877.24 : x
  2. Step 2: Convert to fraction form
    7,648.80/10,560.42 = 5,877.24/x
  3. Step 3: Cross multiply
    7,648.80x = 10,560.42 × 5,877.24
  4. Step 4: Simplify right side
    7,648.80x = 62,066,122.84
  5. Step 5: Solve for x
    x = 62,066,122.84/7,648.80
  6. Step 6: Final answer
    x = 8,114.49

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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.