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Finding the Fourth Proportional to 8,003.01, 12,006.33 and 2,457.14

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Solution

The fourth proportional to 8,003.01, 12,006.33 and 2,457.14 is: 3,686.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.01 : 12,006.33 = 2,457.14 : x
  2. Step 2: Convert to fraction form
    8,003.01/12,006.33 = 2,457.14/x
  3. Step 3: Cross multiply
    8,003.01x = 12,006.33 × 2,457.14
  4. Step 4: Simplify right side
    8,003.01x = 29,501,209.47
  5. Step 5: Solve for x
    x = 29,501,209.47/8,003.01
  6. Step 6: Final answer
    x = 3,686.27

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