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Finding the Fourth Proportional to 10,083.92, 15,129.72 and 3,510.80

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Solution

The fourth proportional to 10,083.92, 15,129.72 and 3,510.80 is: 5,267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.92 : 15,129.72 = 3,510.80 : x
  2. Step 2: Convert to fraction form
    10,083.92/15,129.72 = 3,510.80/x
  3. Step 3: Cross multiply
    10,083.92x = 15,129.72 × 3,510.80
  4. Step 4: Simplify right side
    10,083.92x = 53,117,420.98
  5. Step 5: Solve for x
    x = 53,117,420.98/10,083.92
  6. Step 6: Final answer
    x = 5,267.54

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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.