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Finding the Fourth Proportional to 11,149.37, 15,385.72 and 6,113.48

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Solution

The fourth proportional to 11,149.37, 15,385.72 and 6,113.48 is: 8,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.37 : 15,385.72 = 6,113.48 : x
  2. Step 2: Convert to fraction form
    11,149.37/15,385.72 = 6,113.48/x
  3. Step 3: Cross multiply
    11,149.37x = 15,385.72 × 6,113.48
  4. Step 4: Simplify right side
    11,149.37x = 94,060,291.51
  5. Step 5: Solve for x
    x = 94,060,291.51/11,149.37
  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.