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Finding the Fourth Proportional to 8,312.27, 11,519.47 and 8,154.57

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Solution

The fourth proportional to 8,312.27, 11,519.47 and 8,154.57 is: 11,300.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.27 : 11,519.47 = 8,154.57 : x
  2. Step 2: Convert to fraction form
    8,312.27/11,519.47 = 8,154.57/x
  3. Step 3: Cross multiply
    8,312.27x = 11,519.47 × 8,154.57
  4. Step 4: Simplify right side
    8,312.27x = 93,936,304.09
  5. Step 5: Solve for x
    x = 93,936,304.09/8,312.27
  6. Step 6: Final answer
    x = 11,300.92

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.