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Finding the Fourth Proportional to 10,616.25, 14,650.36 and 5,900.50

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Solution

The fourth proportional to 10,616.25, 14,650.36 and 5,900.50 is: 8,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.25 : 14,650.36 = 5,900.50 : x
  2. Step 2: Convert to fraction form
    10,616.25/14,650.36 = 5,900.50/x
  3. Step 3: Cross multiply
    10,616.25x = 14,650.36 × 5,900.50
  4. Step 4: Simplify right side
    10,616.25x = 86,444,449.18
  5. Step 5: Solve for x
    x = 86,444,449.18/10,616.25
  6. Step 6: Final answer
    x = 8,142.65

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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.