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Finding the Fourth Proportional to 11,164.16, 15,405.84 and 6,128.48

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Solution

The fourth proportional to 11,164.16, 15,405.84 and 6,128.48 is: 8,456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.16 : 15,405.84 = 6,128.48 : x
  2. Step 2: Convert to fraction form
    11,164.16/15,405.84 = 6,128.48/x
  3. Step 3: Cross multiply
    11,164.16x = 15,405.84 × 6,128.48
  4. Step 4: Simplify right side
    11,164.16x = 94,414,382.32
  5. Step 5: Solve for x
    x = 94,414,382.32/11,164.16
  6. Step 6: Final answer
    x = 8,456.92

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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.