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Finding the Fourth Proportional to 7,752.84, 11,617.92 and 3,851.88

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Solution

The fourth proportional to 7,752.84, 11,617.92 and 3,851.88 is: 5,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.84 : 11,617.92 = 3,851.88 : x
  2. Step 2: Convert to fraction form
    7,752.84/11,617.92 = 3,851.88/x
  3. Step 3: Cross multiply
    7,752.84x = 11,617.92 × 3,851.88
  4. Step 4: Simplify right side
    7,752.84x = 44,750,833.69
  5. Step 5: Solve for x
    x = 44,750,833.69/7,752.84
  6. Step 6: Final answer
    x = 5,772.19

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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.