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Finding the Fourth Proportional to 10,144.14, 15,216.20 and 6,656.21

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Solution

The fourth proportional to 10,144.14, 15,216.20 and 6,656.21 is: 9,984.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.14 : 15,216.20 = 6,656.21 : x
  2. Step 2: Convert to fraction form
    10,144.14/15,216.20 = 6,656.21/x
  3. Step 3: Cross multiply
    10,144.14x = 15,216.20 × 6,656.21
  4. Step 4: Simplify right side
    10,144.14x = 101,282,296.90
  5. Step 5: Solve for x
    x = 101,282,296.90/10,144.14
  6. Step 6: Final answer
    x = 9,984.32

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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.