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Finding the Fourth Proportional to 10,682.94, 16,026.26 and 4,761.93

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Solution

The fourth proportional to 10,682.94, 16,026.26 and 4,761.93 is: 7,143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.94 : 16,026.26 = 4,761.93 : x
  2. Step 2: Convert to fraction form
    10,682.94/16,026.26 = 4,761.93/x
  3. Step 3: Cross multiply
    10,682.94x = 16,026.26 × 4,761.93
  4. Step 4: Simplify right side
    10,682.94x = 76,315,904.47
  5. Step 5: Solve for x
    x = 76,315,904.47/10,682.94
  6. Step 6: Final answer
    x = 7,143.72

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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.