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Finding the Fourth Proportional to 11,148.57, 15,385.20 and 6,113.25

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Solution

The fourth proportional to 11,148.57, 15,385.20 and 6,113.25 is: 8,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,148.57 : 15,385.20 = 6,113.25 : x
  2. Step 2: Convert to fraction form
    11,148.57/15,385.20 = 6,113.25/x
  3. Step 3: Cross multiply
    11,148.57x = 15,385.20 × 6,113.25
  4. Step 4: Simplify right side
    11,148.57x = 94,053,573.90
  5. Step 5: Solve for x
    x = 94,053,573.90/11,148.57
  6. Step 6: Final answer
    x = 8,436.38

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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.