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Finding the Fourth Proportional to 8,023.84, 12,027.12 and 5,241.76

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Solution

The fourth proportional to 8,023.84, 12,027.12 and 5,241.76 is: 7,857.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.84 : 12,027.12 = 5,241.76 : x
  2. Step 2: Convert to fraction form
    8,023.84/12,027.12 = 5,241.76/x
  3. Step 3: Cross multiply
    8,023.84x = 12,027.12 × 5,241.76
  4. Step 4: Simplify right side
    8,023.84x = 63,043,276.53
  5. Step 5: Solve for x
    x = 63,043,276.53/8,023.84
  6. Step 6: Final answer
    x = 7,857.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.