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Finding the Fourth Proportional to 11,266.88, 16,841.20 and 7,957.76

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Solution

The fourth proportional to 11,266.88, 16,841.20 and 7,957.76 is: 11,894.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,266.88 : 16,841.20 = 7,957.76 : x
  2. Step 2: Convert to fraction form
    11,266.88/16,841.20 = 7,957.76/x
  3. Step 3: Cross multiply
    11,266.88x = 16,841.20 × 7,957.76
  4. Step 4: Simplify right side
    11,266.88x = 134,018,227.71
  5. Step 5: Solve for x
    x = 134,018,227.71/11,266.88
  6. Step 6: Final answer
    x = 11,894.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.