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Finding the Fourth Proportional to 6,758.74, 10,118.13 and 3,828.16

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Solution

The fourth proportional to 6,758.74, 10,118.13 and 3,828.16 is: 5,730.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.74 : 10,118.13 = 3,828.16 : x
  2. Step 2: Convert to fraction form
    6,758.74/10,118.13 = 3,828.16/x
  3. Step 3: Cross multiply
    6,758.74x = 10,118.13 × 3,828.16
  4. Step 4: Simplify right side
    6,758.74x = 38,733,820.54
  5. Step 5: Solve for x
    x = 38,733,820.54/6,758.74
  6. Step 6: Final answer
    x = 5,730.92

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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.