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Finding the Fourth Proportional to 11,412.53, 15,749.36 and 6,376.96

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Solution

The fourth proportional to 11,412.53, 15,749.36 and 6,376.96 is: 8,800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.53 : 15,749.36 = 6,376.96 : x
  2. Step 2: Convert to fraction form
    11,412.53/15,749.36 = 6,376.96/x
  3. Step 3: Cross multiply
    11,412.53x = 15,749.36 × 6,376.96
  4. Step 4: Simplify right side
    11,412.53x = 100,433,035.17
  5. Step 5: Solve for x
    x = 100,433,035.17/11,412.53
  6. Step 6: Final answer
    x = 8,800.25

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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.