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Finding the Fourth Proportional to 10,954.56, 15,115.20 and 6,764.16

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Solution

The fourth proportional to 10,954.56, 15,115.20 and 6,764.16 is: 9,333.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.56 : 15,115.20 = 6,764.16 : x
  2. Step 2: Convert to fraction form
    10,954.56/15,115.20 = 6,764.16/x
  3. Step 3: Cross multiply
    10,954.56x = 15,115.20 × 6,764.16
  4. Step 4: Simplify right side
    10,954.56x = 102,241,631.23
  5. Step 5: Solve for x
    x = 102,241,631.23/10,954.56
  6. Step 6: Final answer
    x = 9,333.25

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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.