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Finding the Fourth Proportional to 8,109.95, 12,156.64 and 5,150.56

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Solution

The fourth proportional to 8,109.95, 12,156.64 and 5,150.56 is: 7,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.95 : 12,156.64 = 5,150.56 : x
  2. Step 2: Convert to fraction form
    8,109.95/12,156.64 = 5,150.56/x
  3. Step 3: Cross multiply
    8,109.95x = 12,156.64 × 5,150.56
  4. Step 4: Simplify right side
    8,109.95x = 62,613,476.72
  5. Step 5: Solve for x
    x = 62,613,476.72/8,109.95
  6. Step 6: Final answer
    x = 7,720.57

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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.