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Finding the Fourth Proportional to 11,077.16, 15,285.96 and 6,041.39

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Solution

The fourth proportional to 11,077.16, 15,285.96 and 6,041.39 is: 8,336.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.16 : 15,285.96 = 6,041.39 : x
  2. Step 2: Convert to fraction form
    11,077.16/15,285.96 = 6,041.39/x
  3. Step 3: Cross multiply
    11,077.16x = 15,285.96 × 6,041.39
  4. Step 4: Simplify right side
    11,077.16x = 92,348,369.45
  5. Step 5: Solve for x
    x = 92,348,369.45/11,077.16
  6. Step 6: Final answer
    x = 8,336.83

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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.