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Finding the Fourth Proportional to 10,947, 15,106.88 and 5,979

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Solution

The fourth proportional to 10,947, 15,106.88 and 5,979 is: 8,251.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947 : 15,106.88 = 5,979 : x
  2. Step 2: Convert to fraction form
    10,947/15,106.88 = 5,979/x
  3. Step 3: Cross multiply
    10,947x = 15,106.88 × 5,979
  4. Step 4: Simplify right side
    10,947x = 90,324,035.52
  5. Step 5: Solve for x
    x = 90,324,035.52/10,947
  6. Step 6: Final answer
    x = 8,251.03

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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.