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Finding the Fourth Proportional to 7,202.74, 10,779.72 and 4,431.18

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Solution

The fourth proportional to 7,202.74, 10,779.72 and 4,431.18 is: 6,631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.74 : 10,779.72 = 4,431.18 : x
  2. Step 2: Convert to fraction form
    7,202.74/10,779.72 = 4,431.18/x
  3. Step 3: Cross multiply
    7,202.74x = 10,779.72 × 4,431.18
  4. Step 4: Simplify right side
    7,202.74x = 47,766,879.67
  5. Step 5: Solve for x
    x = 47,766,879.67/7,202.74
  6. Step 6: Final answer
    x = 6,631.77

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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.