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Finding the Fourth Proportional to 10,817.86, 14,937.75 and 6,845.98

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Solution

The fourth proportional to 10,817.86, 14,937.75 and 6,845.98 is: 9,453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.86 : 14,937.75 = 6,845.98 : x
  2. Step 2: Convert to fraction form
    10,817.86/14,937.75 = 6,845.98/x
  3. Step 3: Cross multiply
    10,817.86x = 14,937.75 × 6,845.98
  4. Step 4: Simplify right side
    10,817.86x = 102,263,537.75
  5. Step 5: Solve for x
    x = 102,263,537.75/10,817.86
  6. Step 6: Final answer
    x = 9,453.21

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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.