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Finding the Fourth Proportional to 7,288.16, 10,062.24 and 5,049.20

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Solution

The fourth proportional to 7,288.16, 10,062.24 and 5,049.20 is: 6,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288.16 : 10,062.24 = 5,049.20 : x
  2. Step 2: Convert to fraction form
    7,288.16/10,062.24 = 5,049.20/x
  3. Step 3: Cross multiply
    7,288.16x = 10,062.24 × 5,049.20
  4. Step 4: Simplify right side
    7,288.16x = 50,806,262.21
  5. Step 5: Solve for x
    x = 50,806,262.21/7,288.16
  6. Step 6: Final answer
    x = 6,971.07

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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.