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Finding the Fourth Proportional to 11,612.66, 16,023.39 and 6,898.10

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Solution

The fourth proportional to 11,612.66, 16,023.39 and 6,898.10 is: 9,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.66 : 16,023.39 = 6,898.10 : x
  2. Step 2: Convert to fraction form
    11,612.66/16,023.39 = 6,898.10/x
  3. Step 3: Cross multiply
    11,612.66x = 16,023.39 × 6,898.10
  4. Step 4: Simplify right side
    11,612.66x = 110,530,946.56
  5. Step 5: Solve for x
    x = 110,530,946.56/11,612.66
  6. Step 6: Final answer
    x = 9,518.14

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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.