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Finding the Fourth Proportional to 8,257.16, 11,391.08 and 5,271.50

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Solution

The fourth proportional to 8,257.16, 11,391.08 and 5,271.50 is: 7,272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.16 : 11,391.08 = 5,271.50 : x
  2. Step 2: Convert to fraction form
    8,257.16/11,391.08 = 5,271.50/x
  3. Step 3: Cross multiply
    8,257.16x = 11,391.08 × 5,271.50
  4. Step 4: Simplify right side
    8,257.16x = 60,048,078.22
  5. Step 5: Solve for x
    x = 60,048,078.22/8,257.16
  6. Step 6: Final answer
    x = 7,272.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.