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Finding the Fourth Proportional to 7,467.96, 10,298.12 and 4,949.16

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Solution

The fourth proportional to 7,467.96, 10,298.12 and 4,949.16 is: 6,824.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.96 : 10,298.12 = 4,949.16 : x
  2. Step 2: Convert to fraction form
    7,467.96/10,298.12 = 4,949.16/x
  3. Step 3: Cross multiply
    7,467.96x = 10,298.12 × 4,949.16
  4. Step 4: Simplify right side
    7,467.96x = 50,967,043.58
  5. Step 5: Solve for x
    x = 50,967,043.58/7,467.96
  6. Step 6: Final answer
    x = 6,824.76

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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.