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Finding the Fourth Proportional to 6,881.47, 10,323.70 and 2,200.39

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Solution

The fourth proportional to 6,881.47, 10,323.70 and 2,200.39 is: 3,301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.47 : 10,323.70 = 2,200.39 : x
  2. Step 2: Convert to fraction form
    6,881.47/10,323.70 = 2,200.39/x
  3. Step 3: Cross multiply
    6,881.47x = 10,323.70 × 2,200.39
  4. Step 4: Simplify right side
    6,881.47x = 22,716,134.93
  5. Step 5: Solve for x
    x = 22,716,134.93/6,881.47
  6. Step 6: Final answer
    x = 3,301.06

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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.