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Finding the Fourth Proportional to 8,005.78, 12,010.38 and 2,459.50

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Solution

The fourth proportional to 8,005.78, 12,010.38 and 2,459.50 is: 3,689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.78 : 12,010.38 = 2,459.50 : x
  2. Step 2: Convert to fraction form
    8,005.78/12,010.38 = 2,459.50/x
  3. Step 3: Cross multiply
    8,005.78x = 12,010.38 × 2,459.50
  4. Step 4: Simplify right side
    8,005.78x = 29,539,529.61
  5. Step 5: Solve for x
    x = 29,539,529.61/8,005.78
  6. Step 6: Final answer
    x = 3,689.78

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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.