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Finding the Fourth Proportional to 10,186.44, 15,284.02 and 4,264.71

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Solution

The fourth proportional to 10,186.44, 15,284.02 and 4,264.71 is: 6,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.44 : 15,284.02 = 4,264.71 : x
  2. Step 2: Convert to fraction form
    10,186.44/15,284.02 = 4,264.71/x
  3. Step 3: Cross multiply
    10,186.44x = 15,284.02 × 4,264.71
  4. Step 4: Simplify right side
    10,186.44x = 65,181,912.93
  5. Step 5: Solve for x
    x = 65,181,912.93/10,186.44
  6. Step 6: Final answer
    x = 6,398.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.