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Finding the Fourth Proportional to 10,444.92, 14,408.94 and 7,610.94

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Solution

The fourth proportional to 10,444.92, 14,408.94 and 7,610.94 is: 10,499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.92 : 14,408.94 = 7,610.94 : x
  2. Step 2: Convert to fraction form
    10,444.92/14,408.94 = 7,610.94/x
  3. Step 3: Cross multiply
    10,444.92x = 14,408.94 × 7,610.94
  4. Step 4: Simplify right side
    10,444.92x = 109,665,577.80
  5. Step 5: Solve for x
    x = 109,665,577.80/10,444.92
  6. Step 6: Final answer
    x = 10,499.42

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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.