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Finding the Fourth Proportional to 7,749.42, 11,624.03 and 1,906.08

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Solution

The fourth proportional to 7,749.42, 11,624.03 and 1,906.08 is: 2,859.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.42 : 11,624.03 = 1,906.08 : x
  2. Step 2: Convert to fraction form
    7,749.42/11,624.03 = 1,906.08/x
  3. Step 3: Cross multiply
    7,749.42x = 11,624.03 × 1,906.08
  4. Step 4: Simplify right side
    7,749.42x = 22,156,331.10
  5. Step 5: Solve for x
    x = 22,156,331.10/7,749.42
  6. Step 6: Final answer
    x = 2,859.10

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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.