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Finding the Fourth Proportional to 11,114.92, 15,342.44 and 6,401.08

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Solution

The fourth proportional to 11,114.92, 15,342.44 and 6,401.08 is: 8,835.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114.92 : 15,342.44 = 6,401.08 : x
  2. Step 2: Convert to fraction form
    11,114.92/15,342.44 = 6,401.08/x
  3. Step 3: Cross multiply
    11,114.92x = 15,342.44 × 6,401.08
  4. Step 4: Simplify right side
    11,114.92x = 98,208,185.84
  5. Step 5: Solve for x
    x = 98,208,185.84/11,114.92
  6. Step 6: Final answer
    x = 8,835.71

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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.