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Finding the Fourth Proportional to 8,377.42, 12,561.35 and 3,443

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Solution

The fourth proportional to 8,377.42, 12,561.35 and 3,443 is: 5,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.42 : 12,561.35 = 3,443 : x
  2. Step 2: Convert to fraction form
    8,377.42/12,561.35 = 3,443/x
  3. Step 3: Cross multiply
    8,377.42x = 12,561.35 × 3,443
  4. Step 4: Simplify right side
    8,377.42x = 43,248,710.84
  5. Step 5: Solve for x
    x = 43,248,710.84/8,377.42
  6. Step 6: Final answer
    x = 5,162.53

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