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Finding the Fourth Proportional to 10,940.96, 15,098.51 and 6,466.32

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Solution

The fourth proportional to 10,940.96, 15,098.51 and 6,466.32 is: 8,923.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.96 : 15,098.51 = 6,466.32 : x
  2. Step 2: Convert to fraction form
    10,940.96/15,098.51 = 6,466.32/x
  3. Step 3: Cross multiply
    10,940.96x = 15,098.51 × 6,466.32
  4. Step 4: Simplify right side
    10,940.96x = 97,631,764.85
  5. Step 5: Solve for x
    x = 97,631,764.85/10,940.96
  6. Step 6: Final answer
    x = 8,923.51

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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.