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Finding the Fourth Proportional to 11,351.76, 15,662.89 and 6,875.43

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Solution

The fourth proportional to 11,351.76, 15,662.89 and 6,875.43 is: 9,486.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,351.76 : 15,662.89 = 6,875.43 : x
  2. Step 2: Convert to fraction form
    11,351.76/15,662.89 = 6,875.43/x
  3. Step 3: Cross multiply
    11,351.76x = 15,662.89 × 6,875.43
  4. Step 4: Simplify right side
    11,351.76x = 107,689,103.79
  5. Step 5: Solve for x
    x = 107,689,103.79/11,351.76
  6. Step 6: Final answer
    x = 9,486.56

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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.