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Finding the Fourth Proportional to 8,254.24, 12,375.20 and 4,966.56

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Solution

The fourth proportional to 8,254.24, 12,375.20 and 4,966.56 is: 7,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.24 : 12,375.20 = 4,966.56 : x
  2. Step 2: Convert to fraction form
    8,254.24/12,375.20 = 4,966.56/x
  3. Step 3: Cross multiply
    8,254.24x = 12,375.20 × 4,966.56
  4. Step 4: Simplify right side
    8,254.24x = 61,462,173.31
  5. Step 5: Solve for x
    x = 61,462,173.31/8,254.24
  6. Step 6: Final answer
    x = 7,446.13

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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.