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Finding the Fourth Proportional to 8,583.45, 12,851.76 and 6,497.13

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Solution

The fourth proportional to 8,583.45, 12,851.76 and 6,497.13 is: 9,727.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.45 : 12,851.76 = 6,497.13 : x
  2. Step 2: Convert to fraction form
    8,583.45/12,851.76 = 6,497.13/x
  3. Step 3: Cross multiply
    8,583.45x = 12,851.76 × 6,497.13
  4. Step 4: Simplify right side
    8,583.45x = 83,499,555.45
  5. Step 5: Solve for x
    x = 83,499,555.45/8,583.45
  6. Step 6: Final answer
    x = 9,727.97

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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.