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Finding the Fourth Proportional to 10,684.92, 16,030.92 and 4,761.12

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Solution

The fourth proportional to 10,684.92, 16,030.92 and 4,761.12 is: 7,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.92 : 16,030.92 = 4,761.12 : x
  2. Step 2: Convert to fraction form
    10,684.92/16,030.92 = 4,761.12/x
  3. Step 3: Cross multiply
    10,684.92x = 16,030.92 × 4,761.12
  4. Step 4: Simplify right side
    10,684.92x = 76,325,133.83
  5. Step 5: Solve for x
    x = 76,325,133.83/10,684.92
  6. Step 6: Final answer
    x = 7,143.26

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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.