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Finding the Fourth Proportional to 10,570.94, 15,851.82 and 5,639.48

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Solution

The fourth proportional to 10,570.94, 15,851.82 and 5,639.48 is: 8,456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.94 : 15,851.82 = 5,639.48 : x
  2. Step 2: Convert to fraction form
    10,570.94/15,851.82 = 5,639.48/x
  3. Step 3: Cross multiply
    10,570.94x = 15,851.82 × 5,639.48
  4. Step 4: Simplify right side
    10,570.94x = 89,396,021.85
  5. Step 5: Solve for x
    x = 89,396,021.85/10,570.94
  6. Step 6: Final answer
    x = 8,456.77

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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.