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Finding the Fourth Proportional to 7,801.46, 10,766.75 and 4,265.20

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Solution

The fourth proportional to 7,801.46, 10,766.75 and 4,265.20 is: 5,886.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.46 : 10,766.75 = 4,265.20 : x
  2. Step 2: Convert to fraction form
    7,801.46/10,766.75 = 4,265.20/x
  3. Step 3: Cross multiply
    7,801.46x = 10,766.75 × 4,265.20
  4. Step 4: Simplify right side
    7,801.46x = 45,922,342.10
  5. Step 5: Solve for x
    x = 45,922,342.10/7,801.46
  6. Step 6: Final answer
    x = 5,886.38

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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.