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Finding the Fourth Proportional to 7,761.96, 10,710.90 and 4,404

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Solution

The fourth proportional to 7,761.96, 10,710.90 and 4,404 is: 6,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.96 : 10,710.90 = 4,404 : x
  2. Step 2: Convert to fraction form
    7,761.96/10,710.90 = 4,404/x
  3. Step 3: Cross multiply
    7,761.96x = 10,710.90 × 4,404
  4. Step 4: Simplify right side
    7,761.96x = 47,170,803.60
  5. Step 5: Solve for x
    x = 47,170,803.60/7,761.96
  6. Step 6: Final answer
    x = 6,077.18

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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.