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Finding the Fourth Proportional to 10,147.54, 15,192.09 and 7,497.22

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Solution

The fourth proportional to 10,147.54, 15,192.09 and 7,497.22 is: 11,224.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.54 : 15,192.09 = 7,497.22 : x
  2. Step 2: Convert to fraction form
    10,147.54/15,192.09 = 7,497.22/x
  3. Step 3: Cross multiply
    10,147.54x = 15,192.09 × 7,497.22
  4. Step 4: Simplify right side
    10,147.54x = 113,898,440.99
  5. Step 5: Solve for x
    x = 113,898,440.99/10,147.54
  6. Step 6: Final answer
    x = 11,224.24

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