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Finding the Fourth Proportional to 11,270.25, 15,553.67 and 6,302.25

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Solution

The fourth proportional to 11,270.25, 15,553.67 and 6,302.25 is: 8,697.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,270.25 : 15,553.67 = 6,302.25 : x
  2. Step 2: Convert to fraction form
    11,270.25/15,553.67 = 6,302.25/x
  3. Step 3: Cross multiply
    11,270.25x = 15,553.67 × 6,302.25
  4. Step 4: Simplify right side
    11,270.25x = 98,023,085.25
  5. Step 5: Solve for x
    x = 98,023,085.25/11,270.25
  6. Step 6: Final answer
    x = 8,697.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.