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Finding the Fourth Proportional to 11,614.80, 17,430.30 and 7,464.90

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Solution

The fourth proportional to 11,614.80, 17,430.30 and 7,464.90 is: 11,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.80 : 17,430.30 = 7,464.90 : x
  2. Step 2: Convert to fraction form
    11,614.80/17,430.30 = 7,464.90/x
  3. Step 3: Cross multiply
    11,614.80x = 17,430.30 × 7,464.90
  4. Step 4: Simplify right side
    11,614.80x = 130,115,446.47
  5. Step 5: Solve for x
    x = 130,115,446.47/11,614.80
  6. Step 6: Final answer
    x = 11,202.56

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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.