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Finding the Fourth Proportional to 7,750.42, 10,694.61 and 5,238.00

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Solution

The fourth proportional to 7,750.42, 10,694.61 and 5,238.00 is: 7,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.42 : 10,694.61 = 5,238.00 : x
  2. Step 2: Convert to fraction form
    7,750.42/10,694.61 = 5,238.00/x
  3. Step 3: Cross multiply
    7,750.42x = 10,694.61 × 5,238.00
  4. Step 4: Simplify right side
    7,750.42x = 56,018,313.71
  5. Step 5: Solve for x
    x = 56,018,313.71/7,750.42
  6. Step 6: Final answer
    x = 7,227.78

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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.