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Finding the Fourth Proportional to 7,763.84, 11,642.18 and 2,497.86

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Solution

The fourth proportional to 7,763.84, 11,642.18 and 2,497.86 is: 3,745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.84 : 11,642.18 = 2,497.86 : x
  2. Step 2: Convert to fraction form
    7,763.84/11,642.18 = 2,497.86/x
  3. Step 3: Cross multiply
    7,763.84x = 11,642.18 × 2,497.86
  4. Step 4: Simplify right side
    7,763.84x = 29,080,535.73
  5. Step 5: Solve for x
    x = 29,080,535.73/7,763.84
  6. Step 6: Final answer
    x = 3,745.64

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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.