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Finding the Fourth Proportional to 6,855.40, 10,277.70 and 2,956.60

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Solution

The fourth proportional to 6,855.40, 10,277.70 and 2,956.60 is: 4,432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.40 : 10,277.70 = 2,956.60 : x
  2. Step 2: Convert to fraction form
    6,855.40/10,277.70 = 2,956.60/x
  3. Step 3: Cross multiply
    6,855.40x = 10,277.70 × 2,956.60
  4. Step 4: Simplify right side
    6,855.40x = 30,387,047.82
  5. Step 5: Solve for x
    x = 30,387,047.82/6,855.40
  6. Step 6: Final answer
    x = 4,432.57

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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.