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Finding the Fourth Proportional to 8,313.12, 11,472.72 and 4,776.48

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Solution

The fourth proportional to 8,313.12, 11,472.72 and 4,776.48 is: 6,591.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.12 : 11,472.72 = 4,776.48 : x
  2. Step 2: Convert to fraction form
    8,313.12/11,472.72 = 4,776.48/x
  3. Step 3: Cross multiply
    8,313.12x = 11,472.72 × 4,776.48
  4. Step 4: Simplify right side
    8,313.12x = 54,799,217.63
  5. Step 5: Solve for x
    x = 54,799,217.63/8,313.12
  6. Step 6: Final answer
    x = 6,591.90

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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.