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Finding the Fourth Proportional to 10,915.82, 15,063.93 and 6,200.13

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Solution

The fourth proportional to 10,915.82, 15,063.93 and 6,200.13 is: 8,556.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.82 : 15,063.93 = 6,200.13 : x
  2. Step 2: Convert to fraction form
    10,915.82/15,063.93 = 6,200.13/x
  3. Step 3: Cross multiply
    10,915.82x = 15,063.93 × 6,200.13
  4. Step 4: Simplify right side
    10,915.82x = 93,398,324.31
  5. Step 5: Solve for x
    x = 93,398,324.31/10,915.82
  6. Step 6: Final answer
    x = 8,556.24

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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.