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Finding the Fourth Proportional to 6,947.66, 10,425.59 and 3,616.13

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Solution

The fourth proportional to 6,947.66, 10,425.59 and 3,616.13 is: 5,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.66 : 10,425.59 = 3,616.13 : x
  2. Step 2: Convert to fraction form
    6,947.66/10,425.59 = 3,616.13/x
  3. Step 3: Cross multiply
    6,947.66x = 10,425.59 × 3,616.13
  4. Step 4: Simplify right side
    6,947.66x = 37,700,288.77
  5. Step 5: Solve for x
    x = 37,700,288.77/6,947.66
  6. Step 6: Final answer
    x = 5,426.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.