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Finding the Fourth Proportional to 8,005.98, 12,004.98 and 2,457.98

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Solution

The fourth proportional to 8,005.98, 12,004.98 and 2,457.98 is: 3,685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.98 : 12,004.98 = 2,457.98 : x
  2. Step 2: Convert to fraction form
    8,005.98/12,004.98 = 2,457.98/x
  3. Step 3: Cross multiply
    8,005.98x = 12,004.98 × 2,457.98
  4. Step 4: Simplify right side
    8,005.98x = 29,508,000.74
  5. Step 5: Solve for x
    x = 29,508,000.74/8,005.98
  6. Step 6: Final answer
    x = 3,685.74

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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.