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Finding the Fourth Proportional to 10,366.86, 14,305.75 and 5,890.02

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Solution

The fourth proportional to 10,366.86, 14,305.75 and 5,890.02 is: 8,127.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.86 : 14,305.75 = 5,890.02 : x
  2. Step 2: Convert to fraction form
    10,366.86/14,305.75 = 5,890.02/x
  3. Step 3: Cross multiply
    10,366.86x = 14,305.75 × 5,890.02
  4. Step 4: Simplify right side
    10,366.86x = 84,261,153.62
  5. Step 5: Solve for x
    x = 84,261,153.62/10,366.86
  6. Step 6: Final answer
    x = 8,127.93

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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.