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Finding the Fourth Proportional to 7,800.67, 10,765.25 and 4,264.11

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Solution

The fourth proportional to 7,800.67, 10,765.25 and 4,264.11 is: 5,884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.67 : 10,765.25 = 4,264.11 : x
  2. Step 2: Convert to fraction form
    7,800.67/10,765.25 = 4,264.11/x
  3. Step 3: Cross multiply
    7,800.67x = 10,765.25 × 4,264.11
  4. Step 4: Simplify right side
    7,800.67x = 45,904,228.83
  5. Step 5: Solve for x
    x = 45,904,228.83/7,800.67
  6. Step 6: Final answer
    x = 5,884.65

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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.