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Finding the Fourth Proportional to 10,408.62, 14,363.96 and 6,159.63

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Solution

The fourth proportional to 10,408.62, 14,363.96 and 6,159.63 is: 8,500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.62 : 14,363.96 = 6,159.63 : x
  2. Step 2: Convert to fraction form
    10,408.62/14,363.96 = 6,159.63/x
  3. Step 3: Cross multiply
    10,408.62x = 14,363.96 × 6,159.63
  4. Step 4: Simplify right side
    10,408.62x = 88,476,648.14
  5. Step 5: Solve for x
    x = 88,476,648.14/10,408.62
  6. Step 6: Final answer
    x = 8,500.32

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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.