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Finding the Fourth Proportional to 7,785, 11,679.39 and 2,590.88

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Solution

The fourth proportional to 7,785, 11,679.39 and 2,590.88 is: 3,886.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785 : 11,679.39 = 2,590.88 : x
  2. Step 2: Convert to fraction form
    7,785/11,679.39 = 2,590.88/x
  3. Step 3: Cross multiply
    7,785x = 11,679.39 × 2,590.88
  4. Step 4: Simplify right side
    7,785x = 30,259,839.57
  5. Step 5: Solve for x
    x = 30,259,839.57/7,785
  6. Step 6: Final answer
    x = 3,886.94

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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.