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Finding the Fourth Proportional to 8,287.10, 12,422.55 and 7,412.30

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Solution

The fourth proportional to 8,287.10, 12,422.55 and 7,412.30 is: 11,111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.10 : 12,422.55 = 7,412.30 : x
  2. Step 2: Convert to fraction form
    8,287.10/12,422.55 = 7,412.30/x
  3. Step 3: Cross multiply
    8,287.10x = 12,422.55 × 7,412.30
  4. Step 4: Simplify right side
    8,287.10x = 92,079,667.37
  5. Step 5: Solve for x
    x = 92,079,667.37/8,287.10
  6. Step 6: Final answer
    x = 11,111.21

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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.