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Finding the Fourth Proportional to 10,764.72, 14,837.04 and 8,211.60

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Solution

The fourth proportional to 10,764.72, 14,837.04 and 8,211.60 is: 11,318.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764.72 : 14,837.04 = 8,211.60 : x
  2. Step 2: Convert to fraction form
    10,764.72/14,837.04 = 8,211.60/x
  3. Step 3: Cross multiply
    10,764.72x = 14,837.04 × 8,211.60
  4. Step 4: Simplify right side
    10,764.72x = 121,835,837.66
  5. Step 5: Solve for x
    x = 121,835,837.66/10,764.72
  6. Step 6: Final answer
    x = 11,318.07

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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.