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Finding the Fourth Proportional to 8,267.16, 11,412.19 and 5,282.31

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Solution

The fourth proportional to 8,267.16, 11,412.19 and 5,282.31 is: 7,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.16 : 11,412.19 = 5,282.31 : x
  2. Step 2: Convert to fraction form
    8,267.16/11,412.19 = 5,282.31/x
  3. Step 3: Cross multiply
    8,267.16x = 11,412.19 × 5,282.31
  4. Step 4: Simplify right side
    8,267.16x = 60,282,774.76
  5. Step 5: Solve for x
    x = 60,282,774.76/8,267.16
  6. Step 6: Final answer
    x = 7,291.83

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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.