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Finding the Fourth Proportional to 7,606.32, 11,408.88 and 2,412.24

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Solution

The fourth proportional to 7,606.32, 11,408.88 and 2,412.24 is: 3,618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.32 : 11,408.88 = 2,412.24 : x
  2. Step 2: Convert to fraction form
    7,606.32/11,408.88 = 2,412.24/x
  3. Step 3: Cross multiply
    7,606.32x = 11,408.88 × 2,412.24
  4. Step 4: Simplify right side
    7,606.32x = 27,520,956.69
  5. Step 5: Solve for x
    x = 27,520,956.69/7,606.32
  6. Step 6: Final answer
    x = 3,618.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.