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Finding the Fourth Proportional to 7,502.97, 11,256.07 and 3,807.21

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Solution

The fourth proportional to 7,502.97, 11,256.07 and 3,807.21 is: 5,711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.97 : 11,256.07 = 3,807.21 : x
  2. Step 2: Convert to fraction form
    7,502.97/11,256.07 = 3,807.21/x
  3. Step 3: Cross multiply
    7,502.97x = 11,256.07 × 3,807.21
  4. Step 4: Simplify right side
    7,502.97x = 42,854,222.26
  5. Step 5: Solve for x
    x = 42,854,222.26/7,502.97
  6. Step 6: Final answer
    x = 5,711.63

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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.