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Finding the Fourth Proportional to 10,561.54, 14,574.72 and 5,845.86

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Solution

The fourth proportional to 10,561.54, 14,574.72 and 5,845.86 is: 8,067.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.54 : 14,574.72 = 5,845.86 : x
  2. Step 2: Convert to fraction form
    10,561.54/14,574.72 = 5,845.86/x
  3. Step 3: Cross multiply
    10,561.54x = 14,574.72 × 5,845.86
  4. Step 4: Simplify right side
    10,561.54x = 85,201,772.66
  5. Step 5: Solve for x
    x = 85,201,772.66/10,561.54
  6. Step 6: Final answer
    x = 8,067.17

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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.