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Finding the Fourth Proportional to 10,181.30, 14,047.74 and 6,822.89

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Solution

The fourth proportional to 10,181.30, 14,047.74 and 6,822.89 is: 9,413.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.30 : 14,047.74 = 6,822.89 : x
  2. Step 2: Convert to fraction form
    10,181.30/14,047.74 = 6,822.89/x
  3. Step 3: Cross multiply
    10,181.30x = 14,047.74 × 6,822.89
  4. Step 4: Simplify right side
    10,181.30x = 95,846,114.53
  5. Step 5: Solve for x
    x = 95,846,114.53/10,181.30
  6. Step 6: Final answer
    x = 9,413.94

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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.