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Finding the Fourth Proportional to 6,983.57, 10,463.04 and 3,689.39

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Solution

The fourth proportional to 6,983.57, 10,463.04 and 3,689.39 is: 5,527.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.57 : 10,463.04 = 3,689.39 : x
  2. Step 2: Convert to fraction form
    6,983.57/10,463.04 = 3,689.39/x
  3. Step 3: Cross multiply
    6,983.57x = 10,463.04 × 3,689.39
  4. Step 4: Simplify right side
    6,983.57x = 38,602,182.83
  5. Step 5: Solve for x
    x = 38,602,182.83/6,983.57
  6. Step 6: Final answer
    x = 5,527.58

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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.