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Finding the Fourth Proportional to 11,248.25, 15,524.33 and 6,711.12

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Solution

The fourth proportional to 11,248.25, 15,524.33 and 6,711.12 is: 9,262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,248.25 : 15,524.33 = 6,711.12 : x
  2. Step 2: Convert to fraction form
    11,248.25/15,524.33 = 6,711.12/x
  3. Step 3: Cross multiply
    11,248.25x = 15,524.33 × 6,711.12
  4. Step 4: Simplify right side
    11,248.25x = 104,185,607.99
  5. Step 5: Solve for x
    x = 104,185,607.99/11,248.25
  6. Step 6: Final answer
    x = 9,262.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.