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Finding the Fourth Proportional to 11,614.38, 16,032.54 and 7,421.82

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Solution

The fourth proportional to 11,614.38, 16,032.54 and 7,421.82 is: 10,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.38 : 16,032.54 = 7,421.82 : x
  2. Step 2: Convert to fraction form
    11,614.38/16,032.54 = 7,421.82/x
  3. Step 3: Cross multiply
    11,614.38x = 16,032.54 × 7,421.82
  4. Step 4: Simplify right side
    11,614.38x = 118,990,626.02
  5. Step 5: Solve for x
    x = 118,990,626.02/11,614.38
  6. Step 6: Final answer
    x = 10,245.11

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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.