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Finding the Fourth Proportional to 11,863.40, 17,780.70 and 5,282.60

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Solution

The fourth proportional to 11,863.40, 17,780.70 and 5,282.60 is: 7,917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.40 : 17,780.70 = 5,282.60 : x
  2. Step 2: Convert to fraction form
    11,863.40/17,780.70 = 5,282.60/x
  3. Step 3: Cross multiply
    11,863.40x = 17,780.70 × 5,282.60
  4. Step 4: Simplify right side
    11,863.40x = 93,928,325.82
  5. Step 5: Solve for x
    x = 93,928,325.82/11,863.40
  6. Step 6: Final answer
    x = 7,917.49

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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.