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Finding the Fourth Proportional to 7,502.94, 10,348.70 and 5,731.47

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Solution

The fourth proportional to 7,502.94, 10,348.70 and 5,731.47 is: 7,905.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.94 : 10,348.70 = 5,731.47 : x
  2. Step 2: Convert to fraction form
    7,502.94/10,348.70 = 5,731.47/x
  3. Step 3: Cross multiply
    7,502.94x = 10,348.70 × 5,731.47
  4. Step 4: Simplify right side
    7,502.94x = 59,313,234.93
  5. Step 5: Solve for x
    x = 59,313,234.93/7,502.94
  6. Step 6: Final answer
    x = 7,905.33

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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.