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Finding the Fourth Proportional to 7,720.69, 11,580.01 and 2,174.47

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Solution

The fourth proportional to 7,720.69, 11,580.01 and 2,174.47 is: 3,261.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.69 : 11,580.01 = 2,174.47 : x
  2. Step 2: Convert to fraction form
    7,720.69/11,580.01 = 2,174.47/x
  3. Step 3: Cross multiply
    7,720.69x = 11,580.01 × 2,174.47
  4. Step 4: Simplify right side
    7,720.69x = 25,180,349.96
  5. Step 5: Solve for x
    x = 25,180,349.96/7,720.69
  6. Step 6: Final answer
    x = 3,261.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.