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Finding the Fourth Proportional to 7,502.77, 11,253.92 and 2,237.82

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Solution

The fourth proportional to 7,502.77, 11,253.92 and 2,237.82 is: 3,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.77 : 11,253.92 = 2,237.82 : x
  2. Step 2: Convert to fraction form
    7,502.77/11,253.92 = 2,237.82/x
  3. Step 3: Cross multiply
    7,502.77x = 11,253.92 × 2,237.82
  4. Step 4: Simplify right side
    7,502.77x = 25,184,257.17
  5. Step 5: Solve for x
    x = 25,184,257.17/7,502.77
  6. Step 6: Final answer
    x = 3,356.66

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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.