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Finding the Fourth Proportional to 7,600.14, 10,490.72 and 4,456.26

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Solution

The fourth proportional to 7,600.14, 10,490.72 and 4,456.26 is: 6,151.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600.14 : 10,490.72 = 4,456.26 : x
  2. Step 2: Convert to fraction form
    7,600.14/10,490.72 = 4,456.26/x
  3. Step 3: Cross multiply
    7,600.14x = 10,490.72 × 4,456.26
  4. Step 4: Simplify right side
    7,600.14x = 46,749,375.91
  5. Step 5: Solve for x
    x = 46,749,375.91/7,600.14
  6. Step 6: Final answer
    x = 6,151.12

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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.