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Finding the Fourth Proportional to 7,738.59, 11,609.28 and 2,815.11

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Solution

The fourth proportional to 7,738.59, 11,609.28 and 2,815.11 is: 4,223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.59 : 11,609.28 = 2,815.11 : x
  2. Step 2: Convert to fraction form
    7,738.59/11,609.28 = 2,815.11/x
  3. Step 3: Cross multiply
    7,738.59x = 11,609.28 × 2,815.11
  4. Step 4: Simplify right side
    7,738.59x = 32,681,400.22
  5. Step 5: Solve for x
    x = 32,681,400.22/7,738.59
  6. Step 6: Final answer
    x = 4,223.17

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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.