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Finding the Fourth Proportional to 11,212.16, 15,462.72 and 7,020.80

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Solution

The fourth proportional to 11,212.16, 15,462.72 and 7,020.80 is: 9,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,212.16 : 15,462.72 = 7,020.80 : x
  2. Step 2: Convert to fraction form
    11,212.16/15,462.72 = 7,020.80/x
  3. Step 3: Cross multiply
    11,212.16x = 15,462.72 × 7,020.80
  4. Step 4: Simplify right side
    11,212.16x = 108,560,664.58
  5. Step 5: Solve for x
    x = 108,560,664.58/11,212.16
  6. Step 6: Final answer
    x = 9,682.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.