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Finding the Fourth Proportional to 7,803.52, 10,761.42 and 5,110.72

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Solution

The fourth proportional to 7,803.52, 10,761.42 and 5,110.72 is: 7,047.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.52 : 10,761.42 = 5,110.72 : x
  2. Step 2: Convert to fraction form
    7,803.52/10,761.42 = 5,110.72/x
  3. Step 3: Cross multiply
    7,803.52x = 10,761.42 × 5,110.72
  4. Step 4: Simplify right side
    7,803.52x = 54,998,604.42
  5. Step 5: Solve for x
    x = 54,998,604.42/7,803.52
  6. Step 6: Final answer
    x = 7,047.92

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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.