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Finding the Fourth Proportional to 11,556.50, 15,948 and 6,251.34

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Solution

The fourth proportional to 11,556.50, 15,948 and 6,251.34 is: 8,626.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556.50 : 15,948 = 6,251.34 : x
  2. Step 2: Convert to fraction form
    11,556.50/15,948 = 6,251.34/x
  3. Step 3: Cross multiply
    11,556.50x = 15,948 × 6,251.34
  4. Step 4: Simplify right side
    11,556.50x = 99,696,370.32
  5. Step 5: Solve for x
    x = 99,696,370.32/11,556.50
  6. Step 6: Final answer
    x = 8,626.87

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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.