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Finding the Fourth Proportional to 10,561.29, 14,574.56 and 5,845.56

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Solution

The fourth proportional to 10,561.29, 14,574.56 and 5,845.56 is: 8,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.29 : 14,574.56 = 5,845.56 : x
  2. Step 2: Convert to fraction form
    10,561.29/14,574.56 = 5,845.56/x
  3. Step 3: Cross multiply
    10,561.29x = 14,574.56 × 5,845.56
  4. Step 4: Simplify right side
    10,561.29x = 85,196,464.95
  5. Step 5: Solve for x
    x = 85,196,464.95/10,561.29
  6. Step 6: Final answer
    x = 8,066.86

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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.