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Finding the Fourth Proportional to 7,298.64, 10,949.38 and 2,366.96

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Solution

The fourth proportional to 7,298.64, 10,949.38 and 2,366.96 is: 3,550.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.64 : 10,949.38 = 2,366.96 : x
  2. Step 2: Convert to fraction form
    7,298.64/10,949.38 = 2,366.96/x
  3. Step 3: Cross multiply
    7,298.64x = 10,949.38 × 2,366.96
  4. Step 4: Simplify right side
    7,298.64x = 25,916,683.82
  5. Step 5: Solve for x
    x = 25,916,683.82/7,298.64
  6. Step 6: Final answer
    x = 3,550.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.