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Finding the Fourth Proportional to 11,188.72, 15,436.74 and 6,469.66

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Solution

The fourth proportional to 11,188.72, 15,436.74 and 6,469.66 is: 8,926.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.72 : 15,436.74 = 6,469.66 : x
  2. Step 2: Convert to fraction form
    11,188.72/15,436.74 = 6,469.66/x
  3. Step 3: Cross multiply
    11,188.72x = 15,436.74 × 6,469.66
  4. Step 4: Simplify right side
    11,188.72x = 99,870,459.31
  5. Step 5: Solve for x
    x = 99,870,459.31/11,188.72
  6. Step 6: Final answer
    x = 8,926.00

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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.