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Finding the Fourth Proportional to 11,164.28, 15,409.48 and 6,451.28

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Solution

The fourth proportional to 11,164.28, 15,409.48 and 6,451.28 is: 8,904.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.28 : 15,409.48 = 6,451.28 : x
  2. Step 2: Convert to fraction form
    11,164.28/15,409.48 = 6,451.28/x
  3. Step 3: Cross multiply
    11,164.28x = 15,409.48 × 6,451.28
  4. Step 4: Simplify right side
    11,164.28x = 99,410,870.13
  5. Step 5: Solve for x
    x = 99,410,870.13/11,164.28
  6. Step 6: Final answer
    x = 8,904.37

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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.