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Finding the Fourth Proportional to 8,297.11, 12,446.88 and 3,852.64

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Solution

The fourth proportional to 8,297.11, 12,446.88 and 3,852.64 is: 5,779.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.11 : 12,446.88 = 3,852.64 : x
  2. Step 2: Convert to fraction form
    8,297.11/12,446.88 = 3,852.64/x
  3. Step 3: Cross multiply
    8,297.11x = 12,446.88 × 3,852.64
  4. Step 4: Simplify right side
    8,297.11x = 47,953,347.76
  5. Step 5: Solve for x
    x = 47,953,347.76/8,297.11
  6. Step 6: Final answer
    x = 5,779.52

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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.