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Finding the Fourth Proportional to 8,712.77, 12,023.82 and 5,175.99

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Solution

The fourth proportional to 8,712.77, 12,023.82 and 5,175.99 is: 7,142.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.77 : 12,023.82 = 5,175.99 : x
  2. Step 2: Convert to fraction form
    8,712.77/12,023.82 = 5,175.99/x
  3. Step 3: Cross multiply
    8,712.77x = 12,023.82 × 5,175.99
  4. Step 4: Simplify right side
    8,712.77x = 62,235,172.08
  5. Step 5: Solve for x
    x = 62,235,172.08/8,712.77
  6. Step 6: Final answer
    x = 7,142.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.