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Finding the Fourth Proportional to 11,898.54, 16,417.62 and 7,183.08

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Solution

The fourth proportional to 11,898.54, 16,417.62 and 7,183.08 is: 9,911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.54 : 16,417.62 = 7,183.08 : x
  2. Step 2: Convert to fraction form
    11,898.54/16,417.62 = 7,183.08/x
  3. Step 3: Cross multiply
    11,898.54x = 16,417.62 × 7,183.08
  4. Step 4: Simplify right side
    11,898.54x = 117,929,077.87
  5. Step 5: Solve for x
    x = 117,929,077.87/11,898.54
  6. Step 6: Final answer
    x = 9,911.22

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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.