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Finding the Fourth Proportional to 8,727.68, 12,045.76 and 5,583.76

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Solution

The fourth proportional to 8,727.68, 12,045.76 and 5,583.76 is: 7,706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,727.68 : 12,045.76 = 5,583.76 : x
  2. Step 2: Convert to fraction form
    8,727.68/12,045.76 = 5,583.76/x
  3. Step 3: Cross multiply
    8,727.68x = 12,045.76 × 5,583.76
  4. Step 4: Simplify right side
    8,727.68x = 67,260,632.86
  5. Step 5: Solve for x
    x = 67,260,632.86/8,727.68
  6. Step 6: Final answer
    x = 7,706.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.