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Finding the Fourth Proportional to 7,751.71, 10,697.57 and 4,394.38

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Solution

The fourth proportional to 7,751.71, 10,697.57 and 4,394.38 is: 6,064.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.71 : 10,697.57 = 4,394.38 : x
  2. Step 2: Convert to fraction form
    7,751.71/10,697.57 = 4,394.38/x
  3. Step 3: Cross multiply
    7,751.71x = 10,697.57 × 4,394.38
  4. Step 4: Simplify right side
    7,751.71x = 47,009,165.68
  5. Step 5: Solve for x
    x = 47,009,165.68/7,751.71
  6. Step 6: Final answer
    x = 6,064.36

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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.