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Finding the Fourth Proportional to 11,240.58, 16,856.50 and 4,216.77

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Solution

The fourth proportional to 11,240.58, 16,856.50 and 4,216.77 is: 6,323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,240.58 : 16,856.50 = 4,216.77 : x
  2. Step 2: Convert to fraction form
    11,240.58/16,856.50 = 4,216.77/x
  3. Step 3: Cross multiply
    11,240.58x = 16,856.50 × 4,216.77
  4. Step 4: Simplify right side
    11,240.58x = 71,079,983.51
  5. Step 5: Solve for x
    x = 71,079,983.51/11,240.58
  6. Step 6: Final answer
    x = 6,323.52

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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.