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Finding the Fourth Proportional to 8,219.59, 12,328.17 and 3,024.25

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Solution

The fourth proportional to 8,219.59, 12,328.17 and 3,024.25 is: 4,535.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.59 : 12,328.17 = 3,024.25 : x
  2. Step 2: Convert to fraction form
    8,219.59/12,328.17 = 3,024.25/x
  3. Step 3: Cross multiply
    8,219.59x = 12,328.17 × 3,024.25
  4. Step 4: Simplify right side
    8,219.59x = 37,283,468.12
  5. Step 5: Solve for x
    x = 37,283,468.12/8,219.59
  6. Step 6: Final answer
    x = 4,535.93

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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.