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Finding the Fourth Proportional to 10,062.28, 13,883.12 and 6,289.28

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Solution

The fourth proportional to 10,062.28, 13,883.12 and 6,289.28 is: 8,677.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.28 : 13,883.12 = 6,289.28 : x
  2. Step 2: Convert to fraction form
    10,062.28/13,883.12 = 6,289.28/x
  3. Step 3: Cross multiply
    10,062.28x = 13,883.12 × 6,289.28
  4. Step 4: Simplify right side
    10,062.28x = 87,314,828.95
  5. Step 5: Solve for x
    x = 87,314,828.95/10,062.28
  6. Step 6: Final answer
    x = 8,677.44

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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.