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Finding the Fourth Proportional to 11,552.16, 15,947.28 and 7,573.44

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Solution

The fourth proportional to 11,552.16, 15,947.28 and 7,573.44 is: 10,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.16 : 15,947.28 = 7,573.44 : x
  2. Step 2: Convert to fraction form
    11,552.16/15,947.28 = 7,573.44/x
  3. Step 3: Cross multiply
    11,552.16x = 15,947.28 × 7,573.44
  4. Step 4: Simplify right side
    11,552.16x = 120,775,768.24
  5. Step 5: Solve for x
    x = 120,775,768.24/11,552.16
  6. Step 6: Final answer
    x = 10,454.82

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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.