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Finding the Fourth Proportional to 7,877.92, 10,871.48 and 4,292.87

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Solution

The fourth proportional to 7,877.92, 10,871.48 and 4,292.87 is: 5,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.92 : 10,871.48 = 4,292.87 : x
  2. Step 2: Convert to fraction form
    7,877.92/10,871.48 = 4,292.87/x
  3. Step 3: Cross multiply
    7,877.92x = 10,871.48 × 4,292.87
  4. Step 4: Simplify right side
    7,877.92x = 46,669,812.44
  5. Step 5: Solve for x
    x = 46,669,812.44/7,877.92
  6. Step 6: Final answer
    x = 5,924.13

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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.