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Finding the Fourth Proportional to 10,947.66, 15,107.82 and 6,231.94

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Solution

The fourth proportional to 10,947.66, 15,107.82 and 6,231.94 is: 8,600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.66 : 15,107.82 = 6,231.94 : x
  2. Step 2: Convert to fraction form
    10,947.66/15,107.82 = 6,231.94/x
  3. Step 3: Cross multiply
    10,947.66x = 15,107.82 × 6,231.94
  4. Step 4: Simplify right side
    10,947.66x = 94,150,966.63
  5. Step 5: Solve for x
    x = 94,150,966.63/10,947.66
  6. Step 6: Final answer
    x = 8,600.10

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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.