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Finding the Fourth Proportional to 8,024.48, 12,040.18 and 3,097.58

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Solution

The fourth proportional to 8,024.48, 12,040.18 and 3,097.58 is: 4,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.48 : 12,040.18 = 3,097.58 : x
  2. Step 2: Convert to fraction form
    8,024.48/12,040.18 = 3,097.58/x
  3. Step 3: Cross multiply
    8,024.48x = 12,040.18 × 3,097.58
  4. Step 4: Simplify right side
    8,024.48x = 37,295,352.82
  5. Step 5: Solve for x
    x = 37,295,352.82/8,024.48
  6. Step 6: Final answer
    x = 4,647.70

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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.