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Finding the Fourth Proportional to 8,257.95, 12,378.56 and 3,575.88

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Solution

The fourth proportional to 8,257.95, 12,378.56 and 3,575.88 is: 5,360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.95 : 12,378.56 = 3,575.88 : x
  2. Step 2: Convert to fraction form
    8,257.95/12,378.56 = 3,575.88/x
  3. Step 3: Cross multiply
    8,257.95x = 12,378.56 × 3,575.88
  4. Step 4: Simplify right side
    8,257.95x = 44,264,227.25
  5. Step 5: Solve for x
    x = 44,264,227.25/8,257.95
  6. Step 6: Final answer
    x = 5,360.20

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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.