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Finding the Fourth Proportional to 11,391.48, 17,077.05 and 6,129.32

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Solution

The fourth proportional to 11,391.48, 17,077.05 and 6,129.32 is: 9,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,391.48 : 17,077.05 = 6,129.32 : x
  2. Step 2: Convert to fraction form
    11,391.48/17,077.05 = 6,129.32/x
  3. Step 3: Cross multiply
    11,391.48x = 17,077.05 × 6,129.32
  4. Step 4: Simplify right side
    11,391.48x = 104,670,618.72
  5. Step 5: Solve for x
    x = 104,670,618.72/11,391.48
  6. Step 6: Final answer
    x = 9,188.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.