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Finding the Fourth Proportional to 8,241.71, 11,378.75 and 5,723.01

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Solution

The fourth proportional to 8,241.71, 11,378.75 and 5,723.01 is: 7,901.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.71 : 11,378.75 = 5,723.01 : x
  2. Step 2: Convert to fraction form
    8,241.71/11,378.75 = 5,723.01/x
  3. Step 3: Cross multiply
    8,241.71x = 11,378.75 × 5,723.01
  4. Step 4: Simplify right side
    8,241.71x = 65,120,671.42
  5. Step 5: Solve for x
    x = 65,120,671.42/8,241.71
  6. Step 6: Final answer
    x = 7,901.36

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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.