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Finding the Fourth Proportional to 10,822.50, 16,212.72 and 7,113.48

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Solution

The fourth proportional to 10,822.50, 16,212.72 and 7,113.48 is: 10,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.50 : 16,212.72 = 7,113.48 : x
  2. Step 2: Convert to fraction form
    10,822.50/16,212.72 = 7,113.48/x
  3. Step 3: Cross multiply
    10,822.50x = 16,212.72 × 7,113.48
  4. Step 4: Simplify right side
    10,822.50x = 115,328,859.47
  5. Step 5: Solve for x
    x = 115,328,859.47/10,822.50
  6. Step 6: Final answer
    x = 10,656.40

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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.