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Finding the Fourth Proportional to 11,164.10, 15,406.14 and 6,128.28

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Solution

The fourth proportional to 11,164.10, 15,406.14 and 6,128.28 is: 8,456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.10 : 15,406.14 = 6,128.28 : x
  2. Step 2: Convert to fraction form
    11,164.10/15,406.14 = 6,128.28/x
  3. Step 3: Cross multiply
    11,164.10x = 15,406.14 × 6,128.28
  4. Step 4: Simplify right side
    11,164.10x = 94,413,139.64
  5. Step 5: Solve for x
    x = 94,413,139.64/11,164.10
  6. Step 6: Final answer
    x = 8,456.85

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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.