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Finding the Fourth Proportional to 7,877.34, 10,871.19 and 4,520.13

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Solution

The fourth proportional to 7,877.34, 10,871.19 and 4,520.13 is: 6,238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.34 : 10,871.19 = 4,520.13 : x
  2. Step 2: Convert to fraction form
    7,877.34/10,871.19 = 4,520.13/x
  3. Step 3: Cross multiply
    7,877.34x = 10,871.19 × 4,520.13
  4. Step 4: Simplify right side
    7,877.34x = 49,139,192.05
  5. Step 5: Solve for x
    x = 49,139,192.05/7,877.34
  6. Step 6: Final answer
    x = 6,238.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.