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Finding the Fourth Proportional to 8,387.71, 11,575.31 and 4,611.01

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Solution

The fourth proportional to 8,387.71, 11,575.31 and 4,611.01 is: 6,363.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.71 : 11,575.31 = 4,611.01 : x
  2. Step 2: Convert to fraction form
    8,387.71/11,575.31 = 4,611.01/x
  3. Step 3: Cross multiply
    8,387.71x = 11,575.31 × 4,611.01
  4. Step 4: Simplify right side
    8,387.71x = 53,373,870.16
  5. Step 5: Solve for x
    x = 53,373,870.16/8,387.71
  6. Step 6: Final answer
    x = 6,363.34

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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.