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Finding the Fourth Proportional to 8,297.10, 12,443.82 and 4,779.66

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Solution

The fourth proportional to 8,297.10, 12,443.82 and 4,779.66 is: 7,168.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.10 : 12,443.82 = 4,779.66 : x
  2. Step 2: Convert to fraction form
    8,297.10/12,443.82 = 4,779.66/x
  3. Step 3: Cross multiply
    8,297.10x = 12,443.82 × 4,779.66
  4. Step 4: Simplify right side
    8,297.10x = 59,477,228.70
  5. Step 5: Solve for x
    x = 59,477,228.70/8,297.10
  6. Step 6: Final answer
    x = 7,168.44

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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.