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Finding the Fourth Proportional to 12,561.78, 17,335.10 and 7,256.48

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Solution

The fourth proportional to 12,561.78, 17,335.10 and 7,256.48 is: 10,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561.78 : 17,335.10 = 7,256.48 : x
  2. Step 2: Convert to fraction form
    12,561.78/17,335.10 = 7,256.48/x
  3. Step 3: Cross multiply
    12,561.78x = 17,335.10 × 7,256.48
  4. Step 4: Simplify right side
    12,561.78x = 125,791,770.17
  5. Step 5: Solve for x
    x = 125,791,770.17/12,561.78
  6. Step 6: Final answer
    x = 10,013.85

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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.