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Finding the Fourth Proportional to 10,162.35, 14,023.98 and 6,182.67

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Solution

The fourth proportional to 10,162.35, 14,023.98 and 6,182.67 is: 8,532.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.35 : 14,023.98 = 6,182.67 : x
  2. Step 2: Convert to fraction form
    10,162.35/14,023.98 = 6,182.67/x
  3. Step 3: Cross multiply
    10,162.35x = 14,023.98 × 6,182.67
  4. Step 4: Simplify right side
    10,162.35x = 86,705,640.43
  5. Step 5: Solve for x
    x = 86,705,640.43/10,162.35
  6. Step 6: Final answer
    x = 8,532.05

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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.