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Finding the Fourth Proportional to 7,466.30, 11,201.88 and 3,571

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Solution

The fourth proportional to 7,466.30, 11,201.88 and 3,571 is: 5,357.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466.30 : 11,201.88 = 3,571 : x
  2. Step 2: Convert to fraction form
    7,466.30/11,201.88 = 3,571/x
  3. Step 3: Cross multiply
    7,466.30x = 11,201.88 × 3,571
  4. Step 4: Simplify right side
    7,466.30x = 40,001,913.48
  5. Step 5: Solve for x
    x = 40,001,913.48/7,466.30
  6. Step 6: Final answer
    x = 5,357.66

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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.