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Finding the Fourth Proportional to 10,553.25, 15,832.54 and 3,157.68

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Solution

The fourth proportional to 10,553.25, 15,832.54 and 3,157.68 is: 4,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.25 : 15,832.54 = 3,157.68 : x
  2. Step 2: Convert to fraction form
    10,553.25/15,832.54 = 3,157.68/x
  3. Step 3: Cross multiply
    10,553.25x = 15,832.54 × 3,157.68
  4. Step 4: Simplify right side
    10,553.25x = 49,994,094.91
  5. Step 5: Solve for x
    x = 49,994,094.91/10,553.25
  6. Step 6: Final answer
    x = 4,737.32

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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.