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Finding the Fourth Proportional to 11,510.73, 15,880.95 and 9,382.59

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Solution

The fourth proportional to 11,510.73, 15,880.95 and 9,382.59 is: 12,944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.73 : 15,880.95 = 9,382.59 : x
  2. Step 2: Convert to fraction form
    11,510.73/15,880.95 = 9,382.59/x
  3. Step 3: Cross multiply
    11,510.73x = 15,880.95 × 9,382.59
  4. Step 4: Simplify right side
    11,510.73x = 149,004,442.66
  5. Step 5: Solve for x
    x = 149,004,442.66/11,510.73
  6. Step 6: Final answer
    x = 12,944.83

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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.