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Finding the Fourth Proportional to 10,074.24, 13,902.71 and 6,093.09

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Solution

The fourth proportional to 10,074.24, 13,902.71 and 6,093.09 is: 8,408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.24 : 13,902.71 = 6,093.09 : x
  2. Step 2: Convert to fraction form
    10,074.24/13,902.71 = 6,093.09/x
  3. Step 3: Cross multiply
    10,074.24x = 13,902.71 × 6,093.09
  4. Step 4: Simplify right side
    10,074.24x = 84,710,432.81
  5. Step 5: Solve for x
    x = 84,710,432.81/10,074.24
  6. Step 6: Final answer
    x = 8,408.62

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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.