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Finding the Fourth Proportional to 11,512.62, 15,888.33 and 6,476.54

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Solution

The fourth proportional to 11,512.62, 15,888.33 and 6,476.54 is: 8,938.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.62 : 15,888.33 = 6,476.54 : x
  2. Step 2: Convert to fraction form
    11,512.62/15,888.33 = 6,476.54/x
  3. Step 3: Cross multiply
    11,512.62x = 15,888.33 × 6,476.54
  4. Step 4: Simplify right side
    11,512.62x = 102,901,325.34
  5. Step 5: Solve for x
    x = 102,901,325.34/11,512.62
  6. Step 6: Final answer
    x = 8,938.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.