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Finding the Fourth Proportional to 8,616.63, 11,895.46 and 5,798.82

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Solution

The fourth proportional to 8,616.63, 11,895.46 and 5,798.82 is: 8,005.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,616.63 : 11,895.46 = 5,798.82 : x
  2. Step 2: Convert to fraction form
    8,616.63/11,895.46 = 5,798.82/x
  3. Step 3: Cross multiply
    8,616.63x = 11,895.46 × 5,798.82
  4. Step 4: Simplify right side
    8,616.63x = 68,979,631.36
  5. Step 5: Solve for x
    x = 68,979,631.36/8,616.63
  6. Step 6: Final answer
    x = 8,005.41

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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.