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Finding the Fourth Proportional to 7,754.68, 10,701.74 and 4,443.32

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Solution

The fourth proportional to 7,754.68, 10,701.74 and 4,443.32 is: 6,131.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.68 : 10,701.74 = 4,443.32 : x
  2. Step 2: Convert to fraction form
    7,754.68/10,701.74 = 4,443.32/x
  3. Step 3: Cross multiply
    7,754.68x = 10,701.74 × 4,443.32
  4. Step 4: Simplify right side
    7,754.68x = 47,551,255.38
  5. Step 5: Solve for x
    x = 47,551,255.38/7,754.68
  6. Step 6: Final answer
    x = 6,131.94

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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.