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Finding the Fourth Proportional to 10,561.82, 14,572.85 and 6,314.25

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Solution

The fourth proportional to 10,561.82, 14,572.85 and 6,314.25 is: 8,712.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.82 : 14,572.85 = 6,314.25 : x
  2. Step 2: Convert to fraction form
    10,561.82/14,572.85 = 6,314.25/x
  3. Step 3: Cross multiply
    10,561.82x = 14,572.85 × 6,314.25
  4. Step 4: Simplify right side
    10,561.82x = 92,016,586.54
  5. Step 5: Solve for x
    x = 92,016,586.54/10,561.82
  6. Step 6: Final answer
    x = 8,712.19

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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.