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Finding the Fourth Proportional to 8,374.30, 12,560.84 and 3,377

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Solution

The fourth proportional to 8,374.30, 12,560.84 and 3,377 is: 5,065.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.30 : 12,560.84 = 3,377 : x
  2. Step 2: Convert to fraction form
    8,374.30/12,560.84 = 3,377/x
  3. Step 3: Cross multiply
    8,374.30x = 12,560.84 × 3,377
  4. Step 4: Simplify right side
    8,374.30x = 42,417,956.68
  5. Step 5: Solve for x
    x = 42,417,956.68/8,374.30
  6. Step 6: Final answer
    x = 5,065.25

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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.