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Finding the Fourth Proportional to 7,751.72, 10,687.20 and 5,098.16

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Solution

The fourth proportional to 7,751.72, 10,687.20 and 5,098.16 is: 7,028.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.72 : 10,687.20 = 5,098.16 : x
  2. Step 2: Convert to fraction form
    7,751.72/10,687.20 = 5,098.16/x
  3. Step 3: Cross multiply
    7,751.72x = 10,687.20 × 5,098.16
  4. Step 4: Simplify right side
    7,751.72x = 54,485,055.55
  5. Step 5: Solve for x
    x = 54,485,055.55/7,751.72
  6. Step 6: Final answer
    x = 7,028.77

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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.