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Finding the Fourth Proportional to 10,266.48, 14,167.86 and 6,232.14

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Solution

The fourth proportional to 10,266.48, 14,167.86 and 6,232.14 is: 8,600.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.48 : 14,167.86 = 6,232.14 : x
  2. Step 2: Convert to fraction form
    10,266.48/14,167.86 = 6,232.14/x
  3. Step 3: Cross multiply
    10,266.48x = 14,167.86 × 6,232.14
  4. Step 4: Simplify right side
    10,266.48x = 88,296,087.02
  5. Step 5: Solve for x
    x = 88,296,087.02/10,266.48
  6. Step 6: Final answer
    x = 8,600.42

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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.