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Finding the Fourth Proportional to 10,768.78, 14,872.17 and 7,420.24

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Solution

The fourth proportional to 10,768.78, 14,872.17 and 7,420.24 is: 10,247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.78 : 14,872.17 = 7,420.24 : x
  2. Step 2: Convert to fraction form
    10,768.78/14,872.17 = 7,420.24/x
  3. Step 3: Cross multiply
    10,768.78x = 14,872.17 × 7,420.24
  4. Step 4: Simplify right side
    10,768.78x = 110,355,070.72
  5. Step 5: Solve for x
    x = 110,355,070.72/10,768.78
  6. Step 6: Final answer
    x = 10,247.69

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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.