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Finding the Fourth Proportional to 10,629.83, 15,945 and 5,083.76

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Solution

The fourth proportional to 10,629.83, 15,945 and 5,083.76 is: 7,625.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,629.83 : 15,945 = 5,083.76 : x
  2. Step 2: Convert to fraction form
    10,629.83/15,945 = 5,083.76/x
  3. Step 3: Cross multiply
    10,629.83x = 15,945 × 5,083.76
  4. Step 4: Simplify right side
    10,629.83x = 81,060,473.48
  5. Step 5: Solve for x
    x = 81,060,473.48/10,629.83
  6. Step 6: Final answer
    x = 7,625.76

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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.