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Finding the Fourth Proportional to 10,287.74, 14,197.08 and 5,811.28

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Solution

The fourth proportional to 10,287.74, 14,197.08 and 5,811.28 is: 8,019.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.74 : 14,197.08 = 5,811.28 : x
  2. Step 2: Convert to fraction form
    10,287.74/14,197.08 = 5,811.28/x
  3. Step 3: Cross multiply
    10,287.74x = 14,197.08 × 5,811.28
  4. Step 4: Simplify right side
    10,287.74x = 82,503,207.06
  5. Step 5: Solve for x
    x = 82,503,207.06/10,287.74
  6. Step 6: Final answer
    x = 8,019.57

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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.