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Finding the Fourth Proportional to 11,262.14, 15,542.34 and 6,482.81

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Solution

The fourth proportional to 11,262.14, 15,542.34 and 6,482.81 is: 8,946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,262.14 : 15,542.34 = 6,482.81 : x
  2. Step 2: Convert to fraction form
    11,262.14/15,542.34 = 6,482.81/x
  3. Step 3: Cross multiply
    11,262.14x = 15,542.34 × 6,482.81
  4. Step 4: Simplify right side
    11,262.14x = 100,757,959.46
  5. Step 5: Solve for x
    x = 100,757,959.46/11,262.14
  6. Step 6: Final answer
    x = 8,946.61

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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.