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Finding the Fourth Proportional to 8,155.77, 12,233.22 and 2,312.38

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Solution

The fourth proportional to 8,155.77, 12,233.22 and 2,312.38 is: 3,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.77 : 12,233.22 = 2,312.38 : x
  2. Step 2: Convert to fraction form
    8,155.77/12,233.22 = 2,312.38/x
  3. Step 3: Cross multiply
    8,155.77x = 12,233.22 × 2,312.38
  4. Step 4: Simplify right side
    8,155.77x = 28,287,853.26
  5. Step 5: Solve for x
    x = 28,287,853.26/8,155.77
  6. Step 6: Final answer
    x = 3,468.45

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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.