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Finding the Fourth Proportional to 8,815.24, 12,138.08 and 8,109.93

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Solution

The fourth proportional to 8,815.24, 12,138.08 and 8,109.93 is: 11,166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,815.24 : 12,138.08 = 8,109.93 : x
  2. Step 2: Convert to fraction form
    8,815.24/12,138.08 = 8,109.93/x
  3. Step 3: Cross multiply
    8,815.24x = 12,138.08 × 8,109.93
  4. Step 4: Simplify right side
    8,815.24x = 98,438,979.13
  5. Step 5: Solve for x
    x = 98,438,979.13/8,815.24
  6. Step 6: Final answer
    x = 11,166.91

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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.