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Finding the Fourth Proportional to 7,711.50, 11,569.29 and 4,425.75

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Solution

The fourth proportional to 7,711.50, 11,569.29 and 4,425.75 is: 6,639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.50 : 11,569.29 = 4,425.75 : x
  2. Step 2: Convert to fraction form
    7,711.50/11,569.29 = 4,425.75/x
  3. Step 3: Cross multiply
    7,711.50x = 11,569.29 × 4,425.75
  4. Step 4: Simplify right side
    7,711.50x = 51,202,785.22
  5. Step 5: Solve for x
    x = 51,202,785.22/7,711.50
  6. Step 6: Final answer
    x = 6,639.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.