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Finding the Fourth Proportional to 12,015.76, 16,581.24 and 6,710.44

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Solution

The fourth proportional to 12,015.76, 16,581.24 and 6,710.44 is: 9,260.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015.76 : 16,581.24 = 6,710.44 : x
  2. Step 2: Convert to fraction form
    12,015.76/16,581.24 = 6,710.44/x
  3. Step 3: Cross multiply
    12,015.76x = 16,581.24 × 6,710.44
  4. Step 4: Simplify right side
    12,015.76x = 111,267,416.15
  5. Step 5: Solve for x
    x = 111,267,416.15/12,015.76
  6. Step 6: Final answer
    x = 9,260.12

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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.