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Finding the Fourth Proportional to 7,886.80, 11,825.70 and 2,956.60

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Solution

The fourth proportional to 7,886.80, 11,825.70 and 2,956.60 is: 4,433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.80 : 11,825.70 = 2,956.60 : x
  2. Step 2: Convert to fraction form
    7,886.80/11,825.70 = 2,956.60/x
  3. Step 3: Cross multiply
    7,886.80x = 11,825.70 × 2,956.60
  4. Step 4: Simplify right side
    7,886.80x = 34,963,864.62
  5. Step 5: Solve for x
    x = 34,963,864.62/7,886.80
  6. Step 6: Final answer
    x = 4,433.21

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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.