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Finding the Fourth Proportional to 11,398.23, 15,729.12 and 6,922.17

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Solution

The fourth proportional to 11,398.23, 15,729.12 and 6,922.17 is: 9,552.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.23 : 15,729.12 = 6,922.17 : x
  2. Step 2: Convert to fraction form
    11,398.23/15,729.12 = 6,922.17/x
  3. Step 3: Cross multiply
    11,398.23x = 15,729.12 × 6,922.17
  4. Step 4: Simplify right side
    11,398.23x = 108,879,642.59
  5. Step 5: Solve for x
    x = 108,879,642.59/11,398.23
  6. Step 6: Final answer
    x = 9,552.33

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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.