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Finding the Fourth Proportional to 7,763.50, 11,640.39 and 5,127.76

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Solution

The fourth proportional to 7,763.50, 11,640.39 and 5,127.76 is: 7,688.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.50 : 11,640.39 = 5,127.76 : x
  2. Step 2: Convert to fraction form
    7,763.50/11,640.39 = 5,127.76/x
  3. Step 3: Cross multiply
    7,763.50x = 11,640.39 × 5,127.76
  4. Step 4: Simplify right side
    7,763.50x = 59,689,126.23
  5. Step 5: Solve for x
    x = 59,689,126.23/7,763.50
  6. Step 6: Final answer
    x = 7,688.43

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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.