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Finding the Fourth Proportional to 8,642.50, 12,891.91 and 8,499.81

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Solution

The fourth proportional to 8,642.50, 12,891.91 and 8,499.81 is: 12,679.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.50 : 12,891.91 = 8,499.81 : x
  2. Step 2: Convert to fraction form
    8,642.50/12,891.91 = 8,499.81/x
  3. Step 3: Cross multiply
    8,642.50x = 12,891.91 × 8,499.81
  4. Step 4: Simplify right side
    8,642.50x = 109,578,785.54
  5. Step 5: Solve for x
    x = 109,578,785.54/8,642.50
  6. Step 6: Final answer
    x = 12,679.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.