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Finding the Fourth Proportional to 11,720.12, 17,565.82 and 7,270.94

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Solution

The fourth proportional to 11,720.12, 17,565.82 and 7,270.94 is: 10,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.12 : 17,565.82 = 7,270.94 : x
  2. Step 2: Convert to fraction form
    11,720.12/17,565.82 = 7,270.94/x
  3. Step 3: Cross multiply
    11,720.12x = 17,565.82 × 7,270.94
  4. Step 4: Simplify right side
    11,720.12x = 127,720,023.27
  5. Step 5: Solve for x
    x = 127,720,023.27/11,720.12
  6. Step 6: Final answer
    x = 10,897.50

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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.