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Finding the Fourth Proportional to 8,024.33, 12,035.59 and 2,477.71

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Solution

The fourth proportional to 8,024.33, 12,035.59 and 2,477.71 is: 3,716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.33 : 12,035.59 = 2,477.71 : x
  2. Step 2: Convert to fraction form
    8,024.33/12,035.59 = 2,477.71/x
  3. Step 3: Cross multiply
    8,024.33x = 12,035.59 × 2,477.71
  4. Step 4: Simplify right side
    8,024.33x = 29,820,642.85
  5. Step 5: Solve for x
    x = 29,820,642.85/8,024.33
  6. Step 6: Final answer
    x = 3,716.28

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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.