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Finding the Fourth Proportional to 8,412.31, 12,621.89 and 4,253.50

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Solution

The fourth proportional to 8,412.31, 12,621.89 and 4,253.50 is: 6,381.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.31 : 12,621.89 = 4,253.50 : x
  2. Step 2: Convert to fraction form
    8,412.31/12,621.89 = 4,253.50/x
  3. Step 3: Cross multiply
    8,412.31x = 12,621.89 × 4,253.50
  4. Step 4: Simplify right side
    8,412.31x = 53,687,209.12
  5. Step 5: Solve for x
    x = 53,687,209.12/8,412.31
  6. Step 6: Final answer
    x = 6,381.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.