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Finding the Fourth Proportional to 8,186.74, 12,280.53 and 2,344.22

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Solution

The fourth proportional to 8,186.74, 12,280.53 and 2,344.22 is: 3,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.74 : 12,280.53 = 2,344.22 : x
  2. Step 2: Convert to fraction form
    8,186.74/12,280.53 = 2,344.22/x
  3. Step 3: Cross multiply
    8,186.74x = 12,280.53 × 2,344.22
  4. Step 4: Simplify right side
    8,186.74x = 28,788,264.04
  5. Step 5: Solve for x
    x = 28,788,264.04/8,186.74
  6. Step 6: Final answer
    x = 3,516.45

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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.