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Finding the Fourth Proportional to 7,763.83, 11,642.18 and 2,497.87

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Solution

The fourth proportional to 7,763.83, 11,642.18 and 2,497.87 is: 3,745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.83 : 11,642.18 = 2,497.87 : x
  2. Step 2: Convert to fraction form
    7,763.83/11,642.18 = 2,497.87/x
  3. Step 3: Cross multiply
    7,763.83x = 11,642.18 × 2,497.87
  4. Step 4: Simplify right side
    7,763.83x = 29,080,652.16
  5. Step 5: Solve for x
    x = 29,080,652.16/7,763.83
  6. Step 6: Final answer
    x = 3,745.66

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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.