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Finding the Fourth Proportional to 10,450.91, 14,408.02 and 7,461.56

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Solution

The fourth proportional to 10,450.91, 14,408.02 and 7,461.56 is: 10,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.91 : 14,408.02 = 7,461.56 : x
  2. Step 2: Convert to fraction form
    10,450.91/14,408.02 = 7,461.56/x
  3. Step 3: Cross multiply
    10,450.91x = 14,408.02 × 7,461.56
  4. Step 4: Simplify right side
    10,450.91x = 107,506,215.02
  5. Step 5: Solve for x
    x = 107,506,215.02/10,450.91
  6. Step 6: Final answer
    x = 10,286.78

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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.