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Finding the Fourth Proportional to 11,339.12, 15,642.24 and 7,362.44

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Solution

The fourth proportional to 11,339.12, 15,642.24 and 7,362.44 is: 10,156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,339.12 : 15,642.24 = 7,362.44 : x
  2. Step 2: Convert to fraction form
    11,339.12/15,642.24 = 7,362.44/x
  3. Step 3: Cross multiply
    11,339.12x = 15,642.24 × 7,362.44
  4. Step 4: Simplify right side
    11,339.12x = 115,165,053.47
  5. Step 5: Solve for x
    x = 115,165,053.47/11,339.12
  6. Step 6: Final answer
    x = 10,156.44

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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.