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Finding the Fourth Proportional to 10,408.70, 14,363 and 5,932.34

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Solution

The fourth proportional to 10,408.70, 14,363 and 5,932.34 is: 8,186.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.70 : 14,363 = 5,932.34 : x
  2. Step 2: Convert to fraction form
    10,408.70/14,363 = 5,932.34/x
  3. Step 3: Cross multiply
    10,408.70x = 14,363 × 5,932.34
  4. Step 4: Simplify right side
    10,408.70x = 85,206,199.42
  5. Step 5: Solve for x
    x = 85,206,199.42/10,408.70
  6. Step 6: Final answer
    x = 8,186.06

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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.