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Finding the Fourth Proportional to 7,046.91, 10,570.33 and 2,116.54

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Solution

The fourth proportional to 7,046.91, 10,570.33 and 2,116.54 is: 3,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.91 : 10,570.33 = 2,116.54 : x
  2. Step 2: Convert to fraction form
    7,046.91/10,570.33 = 2,116.54/x
  3. Step 3: Cross multiply
    7,046.91x = 10,570.33 × 2,116.54
  4. Step 4: Simplify right side
    7,046.91x = 22,372,526.26
  5. Step 5: Solve for x
    x = 22,372,526.26/7,046.91
  6. Step 6: Final answer
    x = 3,174.80

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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.