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Finding the Fourth Proportional to 7,841.81, 11,763.29 and 2,575.46

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Solution

The fourth proportional to 7,841.81, 11,763.29 and 2,575.46 is: 3,863.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.81 : 11,763.29 = 2,575.46 : x
  2. Step 2: Convert to fraction form
    7,841.81/11,763.29 = 2,575.46/x
  3. Step 3: Cross multiply
    7,841.81x = 11,763.29 × 2,575.46
  4. Step 4: Simplify right side
    7,841.81x = 30,295,918.71
  5. Step 5: Solve for x
    x = 30,295,918.71/7,841.81
  6. Step 6: Final answer
    x = 3,863.38

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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.