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Finding the Fourth Proportional to 11,290.48, 15,564.54 and 7,922.86

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Solution

The fourth proportional to 11,290.48, 15,564.54 and 7,922.86 is: 10,922.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,290.48 : 15,564.54 = 7,922.86 : x
  2. Step 2: Convert to fraction form
    11,290.48/15,564.54 = 7,922.86/x
  3. Step 3: Cross multiply
    11,290.48x = 15,564.54 × 7,922.86
  4. Step 4: Simplify right side
    11,290.48x = 123,315,671.38
  5. Step 5: Solve for x
    x = 123,315,671.38/11,290.48
  6. Step 6: Final answer
    x = 10,922.09

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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.