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Finding the Fourth Proportional to 11,510.25, 15,884.94 and 6,474.95

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Solution

The fourth proportional to 11,510.25, 15,884.94 and 6,474.95 is: 8,935.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.25 : 15,884.94 = 6,474.95 : x
  2. Step 2: Convert to fraction form
    11,510.25/15,884.94 = 6,474.95/x
  3. Step 3: Cross multiply
    11,510.25x = 15,884.94 × 6,474.95
  4. Step 4: Simplify right side
    11,510.25x = 102,854,196.68
  5. Step 5: Solve for x
    x = 102,854,196.68/11,510.25
  6. Step 6: Final answer
    x = 8,935.88

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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.