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Finding the Fourth Proportional to 6,952.40, 10,428.60 and 2,794.40

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Solution

The fourth proportional to 6,952.40, 10,428.60 and 2,794.40 is: 4,191.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.40 : 10,428.60 = 2,794.40 : x
  2. Step 2: Convert to fraction form
    6,952.40/10,428.60 = 2,794.40/x
  3. Step 3: Cross multiply
    6,952.40x = 10,428.60 × 2,794.40
  4. Step 4: Simplify right side
    6,952.40x = 29,141,679.84
  5. Step 5: Solve for x
    x = 29,141,679.84/6,952.40
  6. Step 6: Final answer
    x = 4,191.60

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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.