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Finding the Fourth Proportional to 7,036.80, 10,553.91 and 2,593.50

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Solution

The fourth proportional to 7,036.80, 10,553.91 and 2,593.50 is: 3,889.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036.80 : 10,553.91 = 2,593.50 : x
  2. Step 2: Convert to fraction form
    7,036.80/10,553.91 = 2,593.50/x
  3. Step 3: Cross multiply
    7,036.80x = 10,553.91 × 2,593.50
  4. Step 4: Simplify right side
    7,036.80x = 27,371,565.59
  5. Step 5: Solve for x
    x = 27,371,565.59/7,036.80
  6. Step 6: Final answer
    x = 3,889.77

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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.