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Finding the Fourth Proportional to 11,509.92, 15,881.36 and 6,794.72

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Solution

The fourth proportional to 11,509.92, 15,881.36 and 6,794.72 is: 9,375.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.92 : 15,881.36 = 6,794.72 : x
  2. Step 2: Convert to fraction form
    11,509.92/15,881.36 = 6,794.72/x
  3. Step 3: Cross multiply
    11,509.92x = 15,881.36 × 6,794.72
  4. Step 4: Simplify right side
    11,509.92x = 107,909,394.42
  5. Step 5: Solve for x
    x = 107,909,394.42/11,509.92
  6. Step 6: Final answer
    x = 9,375.34

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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.