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Finding the Fourth Proportional to 10,523.54, 15,797.52 and 6,144.14

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Solution

The fourth proportional to 10,523.54, 15,797.52 and 6,144.14 is: 9,223.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.54 : 15,797.52 = 6,144.14 : x
  2. Step 2: Convert to fraction form
    10,523.54/15,797.52 = 6,144.14/x
  3. Step 3: Cross multiply
    10,523.54x = 15,797.52 × 6,144.14
  4. Step 4: Simplify right side
    10,523.54x = 97,062,095.55
  5. Step 5: Solve for x
    x = 97,062,095.55/10,523.54
  6. Step 6: Final answer
    x = 9,223.34

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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.