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Finding the Fourth Proportional to 7,763.42, 11,642.39 and 2,498.21

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Solution

The fourth proportional to 7,763.42, 11,642.39 and 2,498.21 is: 3,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.42 : 11,642.39 = 2,498.21 : x
  2. Step 2: Convert to fraction form
    7,763.42/11,642.39 = 2,498.21/x
  3. Step 3: Cross multiply
    7,763.42x = 11,642.39 × 2,498.21
  4. Step 4: Simplify right side
    7,763.42x = 29,085,161.11
  5. Step 5: Solve for x
    x = 29,085,161.11/7,763.42
  6. Step 6: Final answer
    x = 3,746.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.