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Finding the Fourth Proportional to 11,444.16, 15,791.16 and 6,729.36

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Solution

The fourth proportional to 11,444.16, 15,791.16 and 6,729.36 is: 9,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444.16 : 15,791.16 = 6,729.36 : x
  2. Step 2: Convert to fraction form
    11,444.16/15,791.16 = 6,729.36/x
  3. Step 3: Cross multiply
    11,444.16x = 15,791.16 × 6,729.36
  4. Step 4: Simplify right side
    11,444.16x = 106,264,400.46
  5. Step 5: Solve for x
    x = 106,264,400.46/11,444.16
  6. Step 6: Final answer
    x = 9,285.47

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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.