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Finding the Fourth Proportional to 8,024.77, 12,032.74 and 2,476.58

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Solution

The fourth proportional to 8,024.77, 12,032.74 and 2,476.58 is: 3,713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.77 : 12,032.74 = 2,476.58 : x
  2. Step 2: Convert to fraction form
    8,024.77/12,032.74 = 2,476.58/x
  3. Step 3: Cross multiply
    8,024.77x = 12,032.74 × 2,476.58
  4. Step 4: Simplify right side
    8,024.77x = 29,800,030.85
  5. Step 5: Solve for x
    x = 29,800,030.85/8,024.77
  6. Step 6: Final answer
    x = 3,713.51

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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.