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Finding the Fourth Proportional to 10,408.67, 14,364.10 and 6,159.62

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Solution

The fourth proportional to 10,408.67, 14,364.10 and 6,159.62 is: 8,500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.67 : 14,364.10 = 6,159.62 : x
  2. Step 2: Convert to fraction form
    10,408.67/14,364.10 = 6,159.62/x
  3. Step 3: Cross multiply
    10,408.67x = 14,364.10 × 6,159.62
  4. Step 4: Simplify right side
    10,408.67x = 88,477,397.64
  5. Step 5: Solve for x
    x = 88,477,397.64/10,408.67
  6. Step 6: Final answer
    x = 8,500.36

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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.