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Finding the Fourth Proportional to 11,187.78, 15,438.81 and 6,152.00

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Solution

The fourth proportional to 11,187.78, 15,438.81 and 6,152.00 is: 8,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,187.78 : 15,438.81 = 6,152.00 : x
  2. Step 2: Convert to fraction form
    11,187.78/15,438.81 = 6,152.00/x
  3. Step 3: Cross multiply
    11,187.78x = 15,438.81 × 6,152.00
  4. Step 4: Simplify right side
    11,187.78x = 94,979,481.93
  5. Step 5: Solve for x
    x = 94,979,481.93/11,187.78
  6. Step 6: Final answer
    x = 8,489.57

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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.