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Finding the Fourth Proportional to 10,102.61, 15,161.82 and 7,004.44

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Solution

The fourth proportional to 10,102.61, 15,161.82 and 7,004.44 is: 10,512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.61 : 15,161.82 = 7,004.44 : x
  2. Step 2: Convert to fraction form
    10,102.61/15,161.82 = 7,004.44/x
  3. Step 3: Cross multiply
    10,102.61x = 15,161.82 × 7,004.44
  4. Step 4: Simplify right side
    10,102.61x = 106,200,023.46
  5. Step 5: Solve for x
    x = 106,200,023.46/10,102.61
  6. Step 6: Final answer
    x = 10,512.14

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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.