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Finding the Fourth Proportional to 8,540.83, 12,805.71 and 5,900.95

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Solution

The fourth proportional to 8,540.83, 12,805.71 and 5,900.95 is: 8,847.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.83 : 12,805.71 = 5,900.95 : x
  2. Step 2: Convert to fraction form
    8,540.83/12,805.71 = 5,900.95/x
  3. Step 3: Cross multiply
    8,540.83x = 12,805.71 × 5,900.95
  4. Step 4: Simplify right side
    8,540.83x = 75,565,854.42
  5. Step 5: Solve for x
    x = 75,565,854.42/8,540.83
  6. Step 6: Final answer
    x = 8,847.60

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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.