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Finding the Fourth Proportional to 7,872.48, 10,863.63 and 5,077.98

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Solution

The fourth proportional to 7,872.48, 10,863.63 and 5,077.98 is: 7,007.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.48 : 10,863.63 = 5,077.98 : x
  2. Step 2: Convert to fraction form
    7,872.48/10,863.63 = 5,077.98/x
  3. Step 3: Cross multiply
    7,872.48x = 10,863.63 × 5,077.98
  4. Step 4: Simplify right side
    7,872.48x = 55,165,295.87
  5. Step 5: Solve for x
    x = 55,165,295.87/7,872.48
  6. Step 6: Final answer
    x = 7,007.36

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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.