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Finding the Fourth Proportional to 10,616.54, 14,650.82 and 5,900.82

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Solution

The fourth proportional to 10,616.54, 14,650.82 and 5,900.82 is: 8,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.54 : 14,650.82 = 5,900.82 : x
  2. Step 2: Convert to fraction form
    10,616.54/14,650.82 = 5,900.82/x
  3. Step 3: Cross multiply
    10,616.54x = 14,650.82 × 5,900.82
  4. Step 4: Simplify right side
    10,616.54x = 86,451,822.17
  5. Step 5: Solve for x
    x = 86,451,822.17/10,616.54
  6. Step 6: Final answer
    x = 8,143.13

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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.