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Finding the Fourth Proportional to 7,895.74, 11,844.03 and 7,502.02

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Solution

The fourth proportional to 7,895.74, 11,844.03 and 7,502.02 is: 11,253.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.74 : 11,844.03 = 7,502.02 : x
  2. Step 2: Convert to fraction form
    7,895.74/11,844.03 = 7,502.02/x
  3. Step 3: Cross multiply
    7,895.74x = 11,844.03 × 7,502.02
  4. Step 4: Simplify right side
    7,895.74x = 88,854,149.94
  5. Step 5: Solve for x
    x = 88,854,149.94/7,895.74
  6. Step 6: Final answer
    x = 11,253.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.