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Finding the Fourth Proportional to 10,288.50, 15,408.06 and 5,596.84

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Solution

The fourth proportional to 10,288.50, 15,408.06 and 5,596.84 is: 8,381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.50 : 15,408.06 = 5,596.84 : x
  2. Step 2: Convert to fraction form
    10,288.50/15,408.06 = 5,596.84/x
  3. Step 3: Cross multiply
    10,288.50x = 15,408.06 × 5,596.84
  4. Step 4: Simplify right side
    10,288.50x = 86,236,446.53
  5. Step 5: Solve for x
    x = 86,236,446.53/10,288.50
  6. Step 6: Final answer
    x = 8,381.83

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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.