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Finding the Fourth Proportional to 8,219.10, 12,329.88 and 3,024.58

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Solution

The fourth proportional to 8,219.10, 12,329.88 and 3,024.58 is: 4,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.10 : 12,329.88 = 3,024.58 : x
  2. Step 2: Convert to fraction form
    8,219.10/12,329.88 = 3,024.58/x
  3. Step 3: Cross multiply
    8,219.10x = 12,329.88 × 3,024.58
  4. Step 4: Simplify right side
    8,219.10x = 37,292,708.45
  5. Step 5: Solve for x
    x = 37,292,708.45/8,219.10
  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.