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Finding the Fourth Proportional to 11,486.64, 15,844.04 and 8,294.68

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Solution

The fourth proportional to 11,486.64, 15,844.04 and 8,294.68 is: 11,441.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.64 : 15,844.04 = 8,294.68 : x
  2. Step 2: Convert to fraction form
    11,486.64/15,844.04 = 8,294.68/x
  3. Step 3: Cross multiply
    11,486.64x = 15,844.04 × 8,294.68
  4. Step 4: Simplify right side
    11,486.64x = 131,421,241.71
  5. Step 5: Solve for x
    x = 131,421,241.71/11,486.64
  6. Step 6: Final answer
    x = 11,441.23

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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.