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Finding the Fourth Proportional to 8,505.34, 11,736.70 and 4,967.87

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Solution

The fourth proportional to 8,505.34, 11,736.70 and 4,967.87 is: 6,855.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.34 : 11,736.70 = 4,967.87 : x
  2. Step 2: Convert to fraction form
    8,505.34/11,736.70 = 4,967.87/x
  3. Step 3: Cross multiply
    8,505.34x = 11,736.70 × 4,967.87
  4. Step 4: Simplify right side
    8,505.34x = 58,306,328.73
  5. Step 5: Solve for x
    x = 58,306,328.73/8,505.34
  6. Step 6: Final answer
    x = 6,855.26

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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.