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Finding the Fourth Proportional to 10,807.35, 16,212.37 and 3,410.72

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Solution

The fourth proportional to 10,807.35, 16,212.37 and 3,410.72 is: 5,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.35 : 16,212.37 = 3,410.72 : x
  2. Step 2: Convert to fraction form
    10,807.35/16,212.37 = 3,410.72/x
  3. Step 3: Cross multiply
    10,807.35x = 16,212.37 × 3,410.72
  4. Step 4: Simplify right side
    10,807.35x = 55,295,854.61
  5. Step 5: Solve for x
    x = 55,295,854.61/10,807.35
  6. Step 6: Final answer
    x = 5,116.50

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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.