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Finding the Fourth Proportional to 7,529.84, 10,399.70 and 5,135.73

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Solution

The fourth proportional to 7,529.84, 10,399.70 and 5,135.73 is: 7,093.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,529.84 : 10,399.70 = 5,135.73 : x
  2. Step 2: Convert to fraction form
    7,529.84/10,399.70 = 5,135.73/x
  3. Step 3: Cross multiply
    7,529.84x = 10,399.70 × 5,135.73
  4. Step 4: Simplify right side
    7,529.84x = 53,410,064.12
  5. Step 5: Solve for x
    x = 53,410,064.12/7,529.84
  6. Step 6: Final answer
    x = 7,093.12

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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.