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Finding the Fourth Proportional to 7,699.26, 11,572.97 and 5,083.58

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Solution

The fourth proportional to 7,699.26, 11,572.97 and 5,083.58 is: 7,641.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.26 : 11,572.97 = 5,083.58 : x
  2. Step 2: Convert to fraction form
    7,699.26/11,572.97 = 5,083.58/x
  3. Step 3: Cross multiply
    7,699.26x = 11,572.97 × 5,083.58
  4. Step 4: Simplify right side
    7,699.26x = 58,832,035.55
  5. Step 5: Solve for x
    x = 58,832,035.55/7,699.26
  6. Step 6: Final answer
    x = 7,641.26

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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.