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Finding the Fourth Proportional to 11,234.84, 15,501.38 and 7,255.13

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Solution

The fourth proportional to 11,234.84, 15,501.38 and 7,255.13 is: 10,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.84 : 15,501.38 = 7,255.13 : x
  2. Step 2: Convert to fraction form
    11,234.84/15,501.38 = 7,255.13/x
  3. Step 3: Cross multiply
    11,234.84x = 15,501.38 × 7,255.13
  4. Step 4: Simplify right side
    11,234.84x = 112,464,413.30
  5. Step 5: Solve for x
    x = 112,464,413.30/11,234.84
  6. Step 6: Final answer
    x = 10,010.33

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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.