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Finding the Fourth Proportional to 10,679.91, 16,004.82 and 5,051.57

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Solution

The fourth proportional to 10,679.91, 16,004.82 and 5,051.57 is: 7,570.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.91 : 16,004.82 = 5,051.57 : x
  2. Step 2: Convert to fraction form
    10,679.91/16,004.82 = 5,051.57/x
  3. Step 3: Cross multiply
    10,679.91x = 16,004.82 × 5,051.57
  4. Step 4: Simplify right side
    10,679.91x = 80,849,363.29
  5. Step 5: Solve for x
    x = 80,849,363.29/10,679.91
  6. Step 6: Final answer
    x = 7,570.23

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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.