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Finding the Fourth Proportional to 8,109.96, 12,155.24 and 5,300.15

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Solution

The fourth proportional to 8,109.96, 12,155.24 and 5,300.15 is: 7,943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.96 : 12,155.24 = 5,300.15 : x
  2. Step 2: Convert to fraction form
    8,109.96/12,155.24 = 5,300.15/x
  3. Step 3: Cross multiply
    8,109.96x = 12,155.24 × 5,300.15
  4. Step 4: Simplify right side
    8,109.96x = 64,424,508.01
  5. Step 5: Solve for x
    x = 64,424,508.01/8,109.96
  6. Step 6: Final answer
    x = 7,943.87

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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.