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Finding the Fourth Proportional to 10,658.70, 15,992.46 and 5,981.94

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Solution

The fourth proportional to 10,658.70, 15,992.46 and 5,981.94 is: 8,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.70 : 15,992.46 = 5,981.94 : x
  2. Step 2: Convert to fraction form
    10,658.70/15,992.46 = 5,981.94/x
  3. Step 3: Cross multiply
    10,658.70x = 15,992.46 × 5,981.94
  4. Step 4: Simplify right side
    10,658.70x = 95,665,936.17
  5. Step 5: Solve for x
    x = 95,665,936.17/10,658.70
  6. Step 6: Final answer
    x = 8,975.39

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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.