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Finding the Fourth Proportional to 10,225.84, 14,111.82 and 6,034.09

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Solution

The fourth proportional to 10,225.84, 14,111.82 and 6,034.09 is: 8,327.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.84 : 14,111.82 = 6,034.09 : x
  2. Step 2: Convert to fraction form
    10,225.84/14,111.82 = 6,034.09/x
  3. Step 3: Cross multiply
    10,225.84x = 14,111.82 × 6,034.09
  4. Step 4: Simplify right side
    10,225.84x = 85,151,991.94
  5. Step 5: Solve for x
    x = 85,151,991.94/10,225.84
  6. Step 6: Final answer
    x = 8,327.14

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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.