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Finding the Fourth Proportional to 11,298.36, 15,606.62 and 8,678.15

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Solution

The fourth proportional to 11,298.36, 15,606.62 and 8,678.15 is: 11,987.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.36 : 15,606.62 = 8,678.15 : x
  2. Step 2: Convert to fraction form
    11,298.36/15,606.62 = 8,678.15/x
  3. Step 3: Cross multiply
    11,298.36x = 15,606.62 × 8,678.15
  4. Step 4: Simplify right side
    11,298.36x = 135,436,589.35
  5. Step 5: Solve for x
    x = 135,436,589.35/11,298.36
  6. Step 6: Final answer
    x = 11,987.28

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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.