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Finding the Fourth Proportional to 11,114.25, 15,337.03 and 6,077.54

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Solution

The fourth proportional to 11,114.25, 15,337.03 and 6,077.54 is: 8,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114.25 : 15,337.03 = 6,077.54 : x
  2. Step 2: Convert to fraction form
    11,114.25/15,337.03 = 6,077.54/x
  3. Step 3: Cross multiply
    11,114.25x = 15,337.03 × 6,077.54
  4. Step 4: Simplify right side
    11,114.25x = 93,211,413.31
  5. Step 5: Solve for x
    x = 93,211,413.31/11,114.25
  6. Step 6: Final answer
    x = 8,386.66

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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.