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Finding the Fourth Proportional to 10,270.80, 15,422.40 and 7,808.40

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Solution

The fourth proportional to 10,270.80, 15,422.40 and 7,808.40 is: 11,724.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270.80 : 15,422.40 = 7,808.40 : x
  2. Step 2: Convert to fraction form
    10,270.80/15,422.40 = 7,808.40/x
  3. Step 3: Cross multiply
    10,270.80x = 15,422.40 × 7,808.40
  4. Step 4: Simplify right side
    10,270.80x = 120,424,268.16
  5. Step 5: Solve for x
    x = 120,424,268.16/10,270.80
  6. Step 6: Final answer
    x = 11,724.92

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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.