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Finding the Fourth Proportional to 10,286.88, 14,196 and 6,094.24

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Solution

The fourth proportional to 10,286.88, 14,196 and 6,094.24 is: 8,410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.88 : 14,196 = 6,094.24 : x
  2. Step 2: Convert to fraction form
    10,286.88/14,196 = 6,094.24/x
  3. Step 3: Cross multiply
    10,286.88x = 14,196 × 6,094.24
  4. Step 4: Simplify right side
    10,286.88x = 86,513,831.04
  5. Step 5: Solve for x
    x = 86,513,831.04/10,286.88
  6. Step 6: Final answer
    x = 8,410.11

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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.