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Finding the Fourth Proportional to 7,487.83, 11,232.82 and 2,488.50

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Solution

The fourth proportional to 7,487.83, 11,232.82 and 2,488.50 is: 3,733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487.83 : 11,232.82 = 2,488.50 : x
  2. Step 2: Convert to fraction form
    7,487.83/11,232.82 = 2,488.50/x
  3. Step 3: Cross multiply
    7,487.83x = 11,232.82 × 2,488.50
  4. Step 4: Simplify right side
    7,487.83x = 27,952,872.57
  5. Step 5: Solve for x
    x = 27,952,872.57/7,487.83
  6. Step 6: Final answer
    x = 3,733.11

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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.