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Finding the Fourth Proportional to 11,005.65, 15,163.98 and 7,462.71

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Solution

The fourth proportional to 11,005.65, 15,163.98 and 7,462.71 is: 10,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.65 : 15,163.98 = 7,462.71 : x
  2. Step 2: Convert to fraction form
    11,005.65/15,163.98 = 7,462.71/x
  3. Step 3: Cross multiply
    11,005.65x = 15,163.98 × 7,462.71
  4. Step 4: Simplify right side
    11,005.65x = 113,164,385.19
  5. Step 5: Solve for x
    x = 113,164,385.19/11,005.65
  6. Step 6: Final answer
    x = 10,282.39

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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.