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Finding the Fourth Proportional to 11,693.10, 17,548.98 and 6,149.70

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Solution

The fourth proportional to 11,693.10, 17,548.98 and 6,149.70 is: 9,229.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.10 : 17,548.98 = 6,149.70 : x
  2. Step 2: Convert to fraction form
    11,693.10/17,548.98 = 6,149.70/x
  3. Step 3: Cross multiply
    11,693.10x = 17,548.98 × 6,149.70
  4. Step 4: Simplify right side
    11,693.10x = 107,920,962.31
  5. Step 5: Solve for x
    x = 107,920,962.31/11,693.10
  6. Step 6: Final answer
    x = 9,229.46

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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.