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Finding the Fourth Proportional to 10,441.60, 14,408.40 and 6,249.76

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Solution

The fourth proportional to 10,441.60, 14,408.40 and 6,249.76 is: 8,624.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.60 : 14,408.40 = 6,249.76 : x
  2. Step 2: Convert to fraction form
    10,441.60/14,408.40 = 6,249.76/x
  3. Step 3: Cross multiply
    10,441.60x = 14,408.40 × 6,249.76
  4. Step 4: Simplify right side
    10,441.60x = 90,049,041.98
  5. Step 5: Solve for x
    x = 90,049,041.98/10,441.60
  6. Step 6: Final answer
    x = 8,624.07

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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.