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Finding the Fourth Proportional to 10,947.70, 15,106.92 and 6,471.64

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Solution

The fourth proportional to 10,947.70, 15,106.92 and 6,471.64 is: 8,930.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.70 : 15,106.92 = 6,471.64 : x
  2. Step 2: Convert to fraction form
    10,947.70/15,106.92 = 6,471.64/x
  3. Step 3: Cross multiply
    10,947.70x = 15,106.92 × 6,471.64
  4. Step 4: Simplify right side
    10,947.70x = 97,766,547.75
  5. Step 5: Solve for x
    x = 97,766,547.75/10,947.70
  6. Step 6: Final answer
    x = 8,930.33

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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.