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Finding the Fourth Proportional to 7,877.68, 10,871.44 and 4,521.10

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Solution

The fourth proportional to 7,877.68, 10,871.44 and 4,521.10 is: 6,239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.68 : 10,871.44 = 4,521.10 : x
  2. Step 2: Convert to fraction form
    7,877.68/10,871.44 = 4,521.10/x
  3. Step 3: Cross multiply
    7,877.68x = 10,871.44 × 4,521.10
  4. Step 4: Simplify right side
    7,877.68x = 49,150,867.38
  5. Step 5: Solve for x
    x = 49,150,867.38/7,877.68
  6. Step 6: Final answer
    x = 6,239.26

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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.