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Finding the Fourth Proportional to 11,233.26, 15,502.02 and 6,197.64

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Solution

The fourth proportional to 11,233.26, 15,502.02 and 6,197.64 is: 8,552.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,233.26 : 15,502.02 = 6,197.64 : x
  2. Step 2: Convert to fraction form
    11,233.26/15,502.02 = 6,197.64/x
  3. Step 3: Cross multiply
    11,233.26x = 15,502.02 × 6,197.64
  4. Step 4: Simplify right side
    11,233.26x = 96,075,939.23
  5. Step 5: Solve for x
    x = 96,075,939.23/11,233.26
  6. Step 6: Final answer
    x = 8,552.81

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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.