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Finding the Fourth Proportional to 7,249.30, 10,024.16 and 5,754.60

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Solution

The fourth proportional to 7,249.30, 10,024.16 and 5,754.60 is: 7,957.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.30 : 10,024.16 = 5,754.60 : x
  2. Step 2: Convert to fraction form
    7,249.30/10,024.16 = 5,754.60/x
  3. Step 3: Cross multiply
    7,249.30x = 10,024.16 × 5,754.60
  4. Step 4: Simplify right side
    7,249.30x = 57,685,002.36
  5. Step 5: Solve for x
    x = 57,685,002.36/7,249.30
  6. Step 6: Final answer
    x = 7,957.32

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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.