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Finding the Fourth Proportional to 10,856.50, 16,260.14 and 8,501.83

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Solution

The fourth proportional to 10,856.50, 16,260.14 and 8,501.83 is: 12,733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.50 : 16,260.14 = 8,501.83 : x
  2. Step 2: Convert to fraction form
    10,856.50/16,260.14 = 8,501.83/x
  3. Step 3: Cross multiply
    10,856.50x = 16,260.14 × 8,501.83
  4. Step 4: Simplify right side
    10,856.50x = 138,240,843.50
  5. Step 5: Solve for x
    x = 138,240,843.50/10,856.50
  6. Step 6: Final answer
    x = 12,733.47

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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.