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Finding the Fourth Proportional to 10,265.82, 15,398.97 and 3,340.86

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Solution

The fourth proportional to 10,265.82, 15,398.97 and 3,340.86 is: 5,011.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.82 : 15,398.97 = 3,340.86 : x
  2. Step 2: Convert to fraction form
    10,265.82/15,398.97 = 3,340.86/x
  3. Step 3: Cross multiply
    10,265.82x = 15,398.97 × 3,340.86
  4. Step 4: Simplify right side
    10,265.82x = 51,445,802.91
  5. Step 5: Solve for x
    x = 51,445,802.91/10,265.82
  6. Step 6: Final answer
    x = 5,011.37

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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.