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Finding the Fourth Proportional to 7,693.88, 11,542.46 and 2,430.43

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Solution

The fourth proportional to 7,693.88, 11,542.46 and 2,430.43 is: 3,646.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.88 : 11,542.46 = 2,430.43 : x
  2. Step 2: Convert to fraction form
    7,693.88/11,542.46 = 2,430.43/x
  3. Step 3: Cross multiply
    7,693.88x = 11,542.46 × 2,430.43
  4. Step 4: Simplify right side
    7,693.88x = 28,053,100.05
  5. Step 5: Solve for x
    x = 28,053,100.05/7,693.88
  6. Step 6: Final answer
    x = 3,646.16

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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.