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Finding the Fourth Proportional to 11,616.78, 16,031.19 and 6,581.93

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Solution

The fourth proportional to 11,616.78, 16,031.19 and 6,581.93 is: 9,083.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.78 : 16,031.19 = 6,581.93 : x
  2. Step 2: Convert to fraction form
    11,616.78/16,031.19 = 6,581.93/x
  3. Step 3: Cross multiply
    11,616.78x = 16,031.19 × 6,581.93
  4. Step 4: Simplify right side
    11,616.78x = 105,516,205.10
  5. Step 5: Solve for x
    x = 105,516,205.10/11,616.78
  6. Step 6: Final answer
    x = 9,083.09

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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.