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Finding the Fourth Proportional to 10,970, 16,456.72 and 3,572.72

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Solution

The fourth proportional to 10,970, 16,456.72 and 3,572.72 is: 5,359.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970 : 16,456.72 = 3,572.72 : x
  2. Step 2: Convert to fraction form
    10,970/16,456.72 = 3,572.72/x
  3. Step 3: Cross multiply
    10,970x = 16,456.72 × 3,572.72
  4. Step 4: Simplify right side
    10,970x = 58,795,252.68
  5. Step 5: Solve for x
    x = 58,795,252.68/10,970
  6. Step 6: Final answer
    x = 5,359.64

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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.