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Finding the Fourth Proportional to 8,527.86, 12,793.16 and 3,598.22

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Solution

The fourth proportional to 8,527.86, 12,793.16 and 3,598.22 is: 5,397.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.86 : 12,793.16 = 3,598.22 : x
  2. Step 2: Convert to fraction form
    8,527.86/12,793.16 = 3,598.22/x
  3. Step 3: Cross multiply
    8,527.86x = 12,793.16 × 3,598.22
  4. Step 4: Simplify right side
    8,527.86x = 46,032,618.17
  5. Step 5: Solve for x
    x = 46,032,618.17/8,527.86
  6. Step 6: Final answer
    x = 5,397.91

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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.