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Finding the Fourth Proportional to 11,347.76, 15,660.13 and 6,634.78

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Solution

The fourth proportional to 11,347.76, 15,660.13 and 6,634.78 is: 9,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.76 : 15,660.13 = 6,634.78 : x
  2. Step 2: Convert to fraction form
    11,347.76/15,660.13 = 6,634.78/x
  3. Step 3: Cross multiply
    11,347.76x = 15,660.13 × 6,634.78
  4. Step 4: Simplify right side
    11,347.76x = 103,901,439.02
  5. Step 5: Solve for x
    x = 103,901,439.02/11,347.76
  6. Step 6: Final answer
    x = 9,156.12

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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.