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Finding the Fourth Proportional to 7,624.40, 11,433.24 and 2,430.80

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Solution

The fourth proportional to 7,624.40, 11,433.24 and 2,430.80 is: 3,645.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.40 : 11,433.24 = 2,430.80 : x
  2. Step 2: Convert to fraction form
    7,624.40/11,433.24 = 2,430.80/x
  3. Step 3: Cross multiply
    7,624.40x = 11,433.24 × 2,430.80
  4. Step 4: Simplify right side
    7,624.40x = 27,791,919.79
  5. Step 5: Solve for x
    x = 27,791,919.79/7,624.40
  6. Step 6: Final answer
    x = 3,645.13

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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.