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Finding the Fourth Proportional to 7,749.73, 10,699.01 and 5,929.33

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Solution

The fourth proportional to 7,749.73, 10,699.01 and 5,929.33 is: 8,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.73 : 10,699.01 = 5,929.33 : x
  2. Step 2: Convert to fraction form
    7,749.73/10,699.01 = 5,929.33/x
  3. Step 3: Cross multiply
    7,749.73x = 10,699.01 × 5,929.33
  4. Step 4: Simplify right side
    7,749.73x = 63,437,949.04
  5. Step 5: Solve for x
    x = 63,437,949.04/7,749.73
  6. Step 6: Final answer
    x = 8,185.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.