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Finding the Fourth Proportional to 11,299.30, 15,591.75 and 6,262.25

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Solution

The fourth proportional to 11,299.30, 15,591.75 and 6,262.25 is: 8,641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,299.30 : 15,591.75 = 6,262.25 : x
  2. Step 2: Convert to fraction form
    11,299.30/15,591.75 = 6,262.25/x
  3. Step 3: Cross multiply
    11,299.30x = 15,591.75 × 6,262.25
  4. Step 4: Simplify right side
    11,299.30x = 97,639,436.44
  5. Step 5: Solve for x
    x = 97,639,436.44/11,299.30
  6. Step 6: Final answer
    x = 8,641.19

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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.