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Finding the Fourth Proportional to 10,561.43, 14,574.86 and 5,845.70

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Solution

The fourth proportional to 10,561.43, 14,574.86 and 5,845.70 is: 8,067.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.43 : 14,574.86 = 5,845.70 : x
  2. Step 2: Convert to fraction form
    10,561.43/14,574.86 = 5,845.70/x
  3. Step 3: Cross multiply
    10,561.43x = 14,574.86 × 5,845.70
  4. Step 4: Simplify right side
    10,561.43x = 85,200,157.00
  5. Step 5: Solve for x
    x = 85,200,157.00/10,561.43
  6. Step 6: Final answer
    x = 8,067.11

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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.