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Finding the Fourth Proportional to 7,393.92, 10,205.28 and 5,037

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Solution

The fourth proportional to 7,393.92, 10,205.28 and 5,037 is: 6,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,393.92 : 10,205.28 = 5,037 : x
  2. Step 2: Convert to fraction form
    7,393.92/10,205.28 = 5,037/x
  3. Step 3: Cross multiply
    7,393.92x = 10,205.28 × 5,037
  4. Step 4: Simplify right side
    7,393.92x = 51,403,995.36
  5. Step 5: Solve for x
    x = 51,403,995.36/7,393.92
  6. Step 6: Final answer
    x = 6,952.20

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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.