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Finding the Fourth Proportional to 10,255.29, 14,151.05 and 6,003.20

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Solution

The fourth proportional to 10,255.29, 14,151.05 and 6,003.20 is: 8,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,255.29 : 14,151.05 = 6,003.20 : x
  2. Step 2: Convert to fraction form
    10,255.29/14,151.05 = 6,003.20/x
  3. Step 3: Cross multiply
    10,255.29x = 14,151.05 × 6,003.20
  4. Step 4: Simplify right side
    10,255.29x = 84,951,482.59
  5. Step 5: Solve for x
    x = 84,951,482.59/10,255.29
  6. Step 6: Final answer
    x = 8,283.67

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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.