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Finding the Fourth Proportional to 7,750.69, 10,695.33 and 4,394.02

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Solution

The fourth proportional to 7,750.69, 10,695.33 and 4,394.02 is: 6,063.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.69 : 10,695.33 = 4,394.02 : x
  2. Step 2: Convert to fraction form
    7,750.69/10,695.33 = 4,394.02/x
  3. Step 3: Cross multiply
    7,750.69x = 10,695.33 × 4,394.02
  4. Step 4: Simplify right side
    7,750.69x = 46,995,493.93
  5. Step 5: Solve for x
    x = 46,995,493.93/7,750.69
  6. Step 6: Final answer
    x = 6,063.39

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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.