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Finding the Fourth Proportional to 7,856.52, 11,786.52 and 2,593.16

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Solution

The fourth proportional to 7,856.52, 11,786.52 and 2,593.16 is: 3,890.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.52 : 11,786.52 = 2,593.16 : x
  2. Step 2: Convert to fraction form
    7,856.52/11,786.52 = 2,593.16/x
  3. Step 3: Cross multiply
    7,856.52x = 11,786.52 × 2,593.16
  4. Step 4: Simplify right side
    7,856.52x = 30,564,332.20
  5. Step 5: Solve for x
    x = 30,564,332.20/7,856.52
  6. Step 6: Final answer
    x = 3,890.31

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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.