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Finding the Fourth Proportional to 8,214.16, 12,326.12 and 3,023.68

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Solution

The fourth proportional to 8,214.16, 12,326.12 and 3,023.68 is: 4,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.16 : 12,326.12 = 3,023.68 : x
  2. Step 2: Convert to fraction form
    8,214.16/12,326.12 = 3,023.68/x
  3. Step 3: Cross multiply
    8,214.16x = 12,326.12 × 3,023.68
  4. Step 4: Simplify right side
    8,214.16x = 37,270,242.52
  5. Step 5: Solve for x
    x = 37,270,242.52/8,214.16
  6. Step 6: Final answer
    x = 4,537.32

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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.