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Finding the Fourth Proportional to 11,400.95, 17,101.22 and 5,156.52

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Solution

The fourth proportional to 11,400.95, 17,101.22 and 5,156.52 is: 7,734.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400.95 : 17,101.22 = 5,156.52 : x
  2. Step 2: Convert to fraction form
    11,400.95/17,101.22 = 5,156.52/x
  3. Step 3: Cross multiply
    11,400.95x = 17,101.22 × 5,156.52
  4. Step 4: Simplify right side
    11,400.95x = 88,182,757.17
  5. Step 5: Solve for x
    x = 88,182,757.17/11,400.95
  6. Step 6: Final answer
    x = 7,734.69

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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.