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Finding the Fourth Proportional to 7,168, 9,892.48 and 4,024.32

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Solution

The fourth proportional to 7,168, 9,892.48 and 4,024.32 is: 5,553.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168 : 9,892.48 = 4,024.32 : x
  2. Step 2: Convert to fraction form
    7,168/9,892.48 = 4,024.32/x
  3. Step 3: Cross multiply
    7,168x = 9,892.48 × 4,024.32
  4. Step 4: Simplify right side
    7,168x = 39,810,505.11
  5. Step 5: Solve for x
    x = 39,810,505.11/7,168
  6. Step 6: Final answer
    x = 5,553.92

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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.