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Finding the Fourth Proportional to 8,027.82, 12,032.01 and 4,130.10

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Solution

The fourth proportional to 8,027.82, 12,032.01 and 4,130.10 is: 6,190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.82 : 12,032.01 = 4,130.10 : x
  2. Step 2: Convert to fraction form
    8,027.82/12,032.01 = 4,130.10/x
  3. Step 3: Cross multiply
    8,027.82x = 12,032.01 × 4,130.10
  4. Step 4: Simplify right side
    8,027.82x = 49,693,404.50
  5. Step 5: Solve for x
    x = 49,693,404.50/8,027.82
  6. Step 6: Final answer
    x = 6,190.15

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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.