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Finding the Fourth Proportional to 7,735.88, 10,680.38 and 5,087.78

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Solution

The fourth proportional to 7,735.88, 10,680.38 and 5,087.78 is: 7,024.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.88 : 10,680.38 = 5,087.78 : x
  2. Step 2: Convert to fraction form
    7,735.88/10,680.38 = 5,087.78/x
  3. Step 3: Cross multiply
    7,735.88x = 10,680.38 × 5,087.78
  4. Step 4: Simplify right side
    7,735.88x = 54,339,423.76
  5. Step 5: Solve for x
    x = 54,339,423.76/7,735.88
  6. Step 6: Final answer
    x = 7,024.34

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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.