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Finding the Fourth Proportional to 8,497.41, 12,732.58 and 5,713.84

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Solution

The fourth proportional to 8,497.41, 12,732.58 and 5,713.84 is: 8,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.41 : 12,732.58 = 5,713.84 : x
  2. Step 2: Convert to fraction form
    8,497.41/12,732.58 = 5,713.84/x
  3. Step 3: Cross multiply
    8,497.41x = 12,732.58 × 5,713.84
  4. Step 4: Simplify right side
    8,497.41x = 72,751,924.91
  5. Step 5: Solve for x
    x = 72,751,924.91/8,497.41
  6. Step 6: Final answer
    x = 8,561.66

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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.