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Finding the Fourth Proportional to 7,665.50, 11,490.08 and 4,371.50

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Solution

The fourth proportional to 7,665.50, 11,490.08 and 4,371.50 is: 6,552.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.50 : 11,490.08 = 4,371.50 : x
  2. Step 2: Convert to fraction form
    7,665.50/11,490.08 = 4,371.50/x
  3. Step 3: Cross multiply
    7,665.50x = 11,490.08 × 4,371.50
  4. Step 4: Simplify right side
    7,665.50x = 50,228,805.41
  5. Step 5: Solve for x
    x = 50,228,805.41/7,665.50
  6. Step 6: Final answer
    x = 6,552.58

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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.