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Finding the Fourth Proportional to 8,214.52, 12,322.86 and 3,024.04

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Solution

The fourth proportional to 8,214.52, 12,322.86 and 3,024.04 is: 4,536.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.52 : 12,322.86 = 3,024.04 : x
  2. Step 2: Convert to fraction form
    8,214.52/12,322.86 = 3,024.04/x
  3. Step 3: Cross multiply
    8,214.52x = 12,322.86 × 3,024.04
  4. Step 4: Simplify right side
    8,214.52x = 37,264,821.55
  5. Step 5: Solve for x
    x = 37,264,821.55/8,214.52
  6. Step 6: Final answer
    x = 4,536.46

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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.