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Finding the Fourth Proportional to 10,601.82, 15,905.16 and 5,926.50

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Solution

The fourth proportional to 10,601.82, 15,905.16 and 5,926.50 is: 8,891.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601.82 : 15,905.16 = 5,926.50 : x
  2. Step 2: Convert to fraction form
    10,601.82/15,905.16 = 5,926.50/x
  3. Step 3: Cross multiply
    10,601.82x = 15,905.16 × 5,926.50
  4. Step 4: Simplify right side
    10,601.82x = 94,261,930.74
  5. Step 5: Solve for x
    x = 94,261,930.74/10,601.82
  6. Step 6: Final answer
    x = 8,891.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.