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Finding the Fourth Proportional to 10,589.37, 14,606.73 and 6,817.47

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Solution

The fourth proportional to 10,589.37, 14,606.73 and 6,817.47 is: 9,403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.37 : 14,606.73 = 6,817.47 : x
  2. Step 2: Convert to fraction form
    10,589.37/14,606.73 = 6,817.47/x
  3. Step 3: Cross multiply
    10,589.37x = 14,606.73 × 6,817.47
  4. Step 4: Simplify right side
    10,589.37x = 99,580,943.57
  5. Step 5: Solve for x
    x = 99,580,943.57/10,589.37
  6. Step 6: Final answer
    x = 9,403.86

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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.