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Finding the Fourth Proportional to 7,641.96, 11,466.20 and 3,200.66

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Solution

The fourth proportional to 7,641.96, 11,466.20 and 3,200.66 is: 4,802.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.96 : 11,466.20 = 3,200.66 : x
  2. Step 2: Convert to fraction form
    7,641.96/11,466.20 = 3,200.66/x
  3. Step 3: Cross multiply
    7,641.96x = 11,466.20 × 3,200.66
  4. Step 4: Simplify right side
    7,641.96x = 36,699,407.69
  5. Step 5: Solve for x
    x = 36,699,407.69/7,641.96
  6. Step 6: Final answer
    x = 4,802.36

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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.