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Finding the Fourth Proportional to 8,312.54, 11,473.69 and 4,912.70

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Solution

The fourth proportional to 8,312.54, 11,473.69 and 4,912.70 is: 6,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.54 : 11,473.69 = 4,912.70 : x
  2. Step 2: Convert to fraction form
    8,312.54/11,473.69 = 4,912.70/x
  3. Step 3: Cross multiply
    8,312.54x = 11,473.69 × 4,912.70
  4. Step 4: Simplify right side
    8,312.54x = 56,366,796.86
  5. Step 5: Solve for x
    x = 56,366,796.86/8,312.54
  6. Step 6: Final answer
    x = 6,780.94

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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.