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Finding the Fourth Proportional to 7,877.63, 10,871.16 and 4,340.83

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Solution

The fourth proportional to 7,877.63, 10,871.16 and 4,340.83 is: 5,990.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.63 : 10,871.16 = 4,340.83 : x
  2. Step 2: Convert to fraction form
    7,877.63/10,871.16 = 4,340.83/x
  3. Step 3: Cross multiply
    7,877.63x = 10,871.16 × 4,340.83
  4. Step 4: Simplify right side
    7,877.63x = 47,189,857.46
  5. Step 5: Solve for x
    x = 47,189,857.46/7,877.63
  6. Step 6: Final answer
    x = 5,990.36

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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.