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Finding the Fourth Proportional to 5,561.43, 8,342.16 and 4,516.47

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Solution

The fourth proportional to 5,561.43, 8,342.16 and 4,516.47 is: 6,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.43 : 8,342.16 = 4,516.47 : x
  2. Step 2: Convert to fraction form
    5,561.43/8,342.16 = 4,516.47/x
  3. Step 3: Cross multiply
    5,561.43x = 8,342.16 × 4,516.47
  4. Step 4: Simplify right side
    5,561.43x = 37,677,051.08
  5. Step 5: Solve for x
    x = 37,677,051.08/5,561.43
  6. Step 6: Final answer
    x = 6,774.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.