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Finding the Fourth Proportional to 8,715.53, 12,028.46 and 5,178.75

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Solution

The fourth proportional to 8,715.53, 12,028.46 and 5,178.75 is: 7,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715.53 : 12,028.46 = 5,178.75 : x
  2. Step 2: Convert to fraction form
    8,715.53/12,028.46 = 5,178.75/x
  3. Step 3: Cross multiply
    8,715.53x = 12,028.46 × 5,178.75
  4. Step 4: Simplify right side
    8,715.53x = 62,292,387.23
  5. Step 5: Solve for x
    x = 62,292,387.23/8,715.53
  6. Step 6: Final answer
    x = 7,147.29

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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.