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Finding the Fourth Proportional to 7,147.67, 10,718.87 and 2,466.48

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Solution

The fourth proportional to 7,147.67, 10,718.87 and 2,466.48 is: 3,698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.67 : 10,718.87 = 2,466.48 : x
  2. Step 2: Convert to fraction form
    7,147.67/10,718.87 = 2,466.48/x
  3. Step 3: Cross multiply
    7,147.67x = 10,718.87 × 2,466.48
  4. Step 4: Simplify right side
    7,147.67x = 26,437,866.15
  5. Step 5: Solve for x
    x = 26,437,866.15/7,147.67
  6. Step 6: Final answer
    x = 3,698.81

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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.