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Finding the Fourth Proportional to 11,572.10, 15,969.42 and 6,266.91

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Solution

The fourth proportional to 11,572.10, 15,969.42 and 6,266.91 is: 8,648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.10 : 15,969.42 = 6,266.91 : x
  2. Step 2: Convert to fraction form
    11,572.10/15,969.42 = 6,266.91/x
  3. Step 3: Cross multiply
    11,572.10x = 15,969.42 × 6,266.91
  4. Step 4: Simplify right side
    11,572.10x = 100,078,917.89
  5. Step 5: Solve for x
    x = 100,078,917.89/11,572.10
  6. Step 6: Final answer
    x = 8,648.30

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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.