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Finding the Fourth Proportional to 10,947.96, 15,108.12 and 6,232.14

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Solution

The fourth proportional to 10,947.96, 15,108.12 and 6,232.14 is: 8,600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.96 : 15,108.12 = 6,232.14 : x
  2. Step 2: Convert to fraction form
    10,947.96/15,108.12 = 6,232.14/x
  3. Step 3: Cross multiply
    10,947.96x = 15,108.12 × 6,232.14
  4. Step 4: Simplify right side
    10,947.96x = 94,155,918.98
  5. Step 5: Solve for x
    x = 94,155,918.98/10,947.96
  6. Step 6: Final answer
    x = 8,600.32

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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.