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Finding the Fourth Proportional to 11,183.98, 15,434.07 and 6,148.42

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Solution

The fourth proportional to 11,183.98, 15,434.07 and 6,148.42 is: 8,484.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,183.98 : 15,434.07 = 6,148.42 : x
  2. Step 2: Convert to fraction form
    11,183.98/15,434.07 = 6,148.42/x
  3. Step 3: Cross multiply
    11,183.98x = 15,434.07 × 6,148.42
  4. Step 4: Simplify right side
    11,183.98x = 94,895,144.67
  5. Step 5: Solve for x
    x = 94,895,144.67/11,183.98
  6. Step 6: Final answer
    x = 8,484.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.