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Finding the Fourth Proportional to 8,298.01, 12,447.00 and 3,853.24

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Solution

The fourth proportional to 8,298.01, 12,447.00 and 3,853.24 is: 5,779.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.01 : 12,447.00 = 3,853.24 : x
  2. Step 2: Convert to fraction form
    8,298.01/12,447.00 = 3,853.24/x
  3. Step 3: Cross multiply
    8,298.01x = 12,447.00 × 3,853.24
  4. Step 4: Simplify right side
    8,298.01x = 47,961,267.06
  5. Step 5: Solve for x
    x = 47,961,267.06/8,298.01
  6. Step 6: Final answer
    x = 5,779.85

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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.