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Finding the Fourth Proportional to 10,052.72, 13,879.20 and 6,469.28

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Solution

The fourth proportional to 10,052.72, 13,879.20 and 6,469.28 is: 8,931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.72 : 13,879.20 = 6,469.28 : x
  2. Step 2: Convert to fraction form
    10,052.72/13,879.20 = 6,469.28/x
  3. Step 3: Cross multiply
    10,052.72x = 13,879.20 × 6,469.28
  4. Step 4: Simplify right side
    10,052.72x = 89,788,430.98
  5. Step 5: Solve for x
    x = 89,788,430.98/10,052.72
  6. Step 6: Final answer
    x = 8,931.75

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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.