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Finding the Fourth Proportional to 10,052.33, 13,870.22 and 6,073.67

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Solution

The fourth proportional to 10,052.33, 13,870.22 and 6,073.67 is: 8,380.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.33 : 13,870.22 = 6,073.67 : x
  2. Step 2: Convert to fraction form
    10,052.33/13,870.22 = 6,073.67/x
  3. Step 3: Cross multiply
    10,052.33x = 13,870.22 × 6,073.67
  4. Step 4: Simplify right side
    10,052.33x = 84,243,039.39
  5. Step 5: Solve for x
    x = 84,243,039.39/10,052.33
  6. Step 6: Final answer
    x = 8,380.45

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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.