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Finding the Fourth Proportional to 7,201.74, 10,778.22 and 4,430.18

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Solution

The fourth proportional to 7,201.74, 10,778.22 and 4,430.18 is: 6,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.74 : 10,778.22 = 4,430.18 : x
  2. Step 2: Convert to fraction form
    7,201.74/10,778.22 = 4,430.18/x
  3. Step 3: Cross multiply
    7,201.74x = 10,778.22 × 4,430.18
  4. Step 4: Simplify right side
    7,201.74x = 47,749,400.79
  5. Step 5: Solve for x
    x = 47,749,400.79/7,201.74
  6. Step 6: Final answer
    x = 6,630.26

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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.