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Finding the Fourth Proportional to 11,498.95, 17,233.05 and 6,151.16

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Solution

The fourth proportional to 11,498.95, 17,233.05 and 6,151.16 is: 9,218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.95 : 17,233.05 = 6,151.16 : x
  2. Step 2: Convert to fraction form
    11,498.95/17,233.05 = 6,151.16/x
  3. Step 3: Cross multiply
    11,498.95x = 17,233.05 × 6,151.16
  4. Step 4: Simplify right side
    11,498.95x = 106,003,217.05
  5. Step 5: Solve for x
    x = 106,003,217.05/11,498.95
  6. Step 6: Final answer
    x = 9,218.52

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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.