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Finding the Fourth Proportional to 10,418.68, 14,377.86 and 6,438.88

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Solution

The fourth proportional to 10,418.68, 14,377.86 and 6,438.88 is: 8,885.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.68 : 14,377.86 = 6,438.88 : x
  2. Step 2: Convert to fraction form
    10,418.68/14,377.86 = 6,438.88/x
  3. Step 3: Cross multiply
    10,418.68x = 14,377.86 × 6,438.88
  4. Step 4: Simplify right side
    10,418.68x = 92,577,315.20
  5. Step 5: Solve for x
    x = 92,577,315.20/10,418.68
  6. Step 6: Final answer
    x = 8,885.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.