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Finding the Fourth Proportional to 7,809.46, 11,713.76 and 2,878.68

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Solution

The fourth proportional to 7,809.46, 11,713.76 and 2,878.68 is: 4,317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.46 : 11,713.76 = 2,878.68 : x
  2. Step 2: Convert to fraction form
    7,809.46/11,713.76 = 2,878.68/x
  3. Step 3: Cross multiply
    7,809.46x = 11,713.76 × 2,878.68
  4. Step 4: Simplify right side
    7,809.46x = 33,720,206.97
  5. Step 5: Solve for x
    x = 33,720,206.97/7,809.46
  6. Step 6: Final answer
    x = 4,317.87

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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.