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Finding the Fourth Proportional to 7,761.21, 10,711.15 and 4,405.07

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Solution

The fourth proportional to 7,761.21, 10,711.15 and 4,405.07 is: 6,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.21 : 10,711.15 = 4,405.07 : x
  2. Step 2: Convert to fraction form
    7,761.21/10,711.15 = 4,405.07/x
  3. Step 3: Cross multiply
    7,761.21x = 10,711.15 × 4,405.07
  4. Step 4: Simplify right side
    7,761.21x = 47,183,365.53
  5. Step 5: Solve for x
    x = 47,183,365.53/7,761.21
  6. Step 6: Final answer
    x = 6,079.38

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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.