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Finding the Fourth Proportional to 6,854.88, 10,282.33 and 2,472.34

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Solution

The fourth proportional to 6,854.88, 10,282.33 and 2,472.34 is: 3,708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.88 : 10,282.33 = 2,472.34 : x
  2. Step 2: Convert to fraction form
    6,854.88/10,282.33 = 2,472.34/x
  3. Step 3: Cross multiply
    6,854.88x = 10,282.33 × 2,472.34
  4. Step 4: Simplify right side
    6,854.88x = 25,421,398.51
  5. Step 5: Solve for x
    x = 25,421,398.51/6,854.88
  6. Step 6: Final answer
    x = 3,708.51

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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.