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Finding the Fourth Proportional to 7,802.39, 10,767.24 and 4,265.54

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Solution

The fourth proportional to 7,802.39, 10,767.24 and 4,265.54 is: 5,886.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.39 : 10,767.24 = 4,265.54 : x
  2. Step 2: Convert to fraction form
    7,802.39/10,767.24 = 4,265.54/x
  3. Step 3: Cross multiply
    7,802.39x = 10,767.24 × 4,265.54
  4. Step 4: Simplify right side
    7,802.39x = 45,928,092.91
  5. Step 5: Solve for x
    x = 45,928,092.91/7,802.39
  6. Step 6: Final answer
    x = 5,886.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.