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Finding the Fourth Proportional to 8,271.74, 11,410.71 and 5,122.46

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Solution

The fourth proportional to 8,271.74, 11,410.71 and 5,122.46 is: 7,066.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.74 : 11,410.71 = 5,122.46 : x
  2. Step 2: Convert to fraction form
    8,271.74/11,410.71 = 5,122.46/x
  3. Step 3: Cross multiply
    8,271.74x = 11,410.71 × 5,122.46
  4. Step 4: Simplify right side
    8,271.74x = 58,450,848.49
  5. Step 5: Solve for x
    x = 58,450,848.49/8,271.74
  6. Step 6: Final answer
    x = 7,066.33

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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.