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Finding the Fourth Proportional to 7,780.59, 11,667.42 and 2,846.79

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Solution

The fourth proportional to 7,780.59, 11,667.42 and 2,846.79 is: 4,268.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.59 : 11,667.42 = 2,846.79 : x
  2. Step 2: Convert to fraction form
    7,780.59/11,667.42 = 2,846.79/x
  3. Step 3: Cross multiply
    7,780.59x = 11,667.42 × 2,846.79
  4. Step 4: Simplify right side
    7,780.59x = 33,214,694.58
  5. Step 5: Solve for x
    x = 33,214,694.58/7,780.59
  6. Step 6: Final answer
    x = 4,268.92

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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.