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Finding the Fourth Proportional to 8,271.36, 11,410.20 and 5,122.08

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Solution

The fourth proportional to 8,271.36, 11,410.20 and 5,122.08 is: 7,065.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.36 : 11,410.20 = 5,122.08 : x
  2. Step 2: Convert to fraction form
    8,271.36/11,410.20 = 5,122.08/x
  3. Step 3: Cross multiply
    8,271.36x = 11,410.20 × 5,122.08
  4. Step 4: Simplify right side
    8,271.36x = 58,443,957.22
  5. Step 5: Solve for x
    x = 58,443,957.22/8,271.36
  6. Step 6: Final answer
    x = 7,065.82

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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.