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Finding the Fourth Proportional to 11,524.64, 15,897.60 and 7,552.16

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Solution

The fourth proportional to 11,524.64, 15,897.60 and 7,552.16 is: 10,417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.64 : 15,897.60 = 7,552.16 : x
  2. Step 2: Convert to fraction form
    11,524.64/15,897.60 = 7,552.16/x
  3. Step 3: Cross multiply
    11,524.64x = 15,897.60 × 7,552.16
  4. Step 4: Simplify right side
    11,524.64x = 120,061,218.82
  5. Step 5: Solve for x
    x = 120,061,218.82/11,524.64
  6. Step 6: Final answer
    x = 10,417.78

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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.