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Finding the Fourth Proportional to 10,366.26, 14,305.59 and 5,890.14

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Solution

The fourth proportional to 10,366.26, 14,305.59 and 5,890.14 is: 8,128.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.26 : 14,305.59 = 5,890.14 : x
  2. Step 2: Convert to fraction form
    10,366.26/14,305.59 = 5,890.14/x
  3. Step 3: Cross multiply
    10,366.26x = 14,305.59 × 5,890.14
  4. Step 4: Simplify right side
    10,366.26x = 84,261,927.88
  5. Step 5: Solve for x
    x = 84,261,927.88/10,366.26
  6. Step 6: Final answer
    x = 8,128.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.