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Finding the Fourth Proportional to 10,947.84, 15,101.76 and 6,960.96

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Solution

The fourth proportional to 10,947.84, 15,101.76 and 6,960.96 is: 9,602.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.84 : 15,101.76 = 6,960.96 : x
  2. Step 2: Convert to fraction form
    10,947.84/15,101.76 = 6,960.96/x
  3. Step 3: Cross multiply
    10,947.84x = 15,101.76 × 6,960.96
  4. Step 4: Simplify right side
    10,947.84x = 105,122,747.29
  5. Step 5: Solve for x
    x = 105,122,747.29/10,947.84
  6. Step 6: Final answer
    x = 9,602.15

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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.