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Finding the Fourth Proportional to 8,242.71, 11,380.13 and 5,724.01

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Solution

The fourth proportional to 8,242.71, 11,380.13 and 5,724.01 is: 7,902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.71 : 11,380.13 = 5,724.01 : x
  2. Step 2: Convert to fraction form
    8,242.71/11,380.13 = 5,724.01/x
  3. Step 3: Cross multiply
    8,242.71x = 11,380.13 × 5,724.01
  4. Step 4: Simplify right side
    8,242.71x = 65,139,977.92
  5. Step 5: Solve for x
    x = 65,139,977.92/8,242.71
  6. Step 6: Final answer
    x = 7,902.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.