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Finding the Fourth Proportional to 7,463.52, 10,299.64 and 4,151.52

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Solution

The fourth proportional to 7,463.52, 10,299.64 and 4,151.52 is: 5,729.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.52 : 10,299.64 = 4,151.52 : x
  2. Step 2: Convert to fraction form
    7,463.52/10,299.64 = 4,151.52/x
  3. Step 3: Cross multiply
    7,463.52x = 10,299.64 × 4,151.52
  4. Step 4: Simplify right side
    7,463.52x = 42,759,161.45
  5. Step 5: Solve for x
    x = 42,759,161.45/7,463.52
  6. Step 6: Final answer
    x = 5,729.09

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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.