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Finding the Fourth Proportional to 10,215.64, 15,320.22 and 3,975.24

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Solution

The fourth proportional to 10,215.64, 15,320.22 and 3,975.24 is: 5,961.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215.64 : 15,320.22 = 3,975.24 : x
  2. Step 2: Convert to fraction form
    10,215.64/15,320.22 = 3,975.24/x
  3. Step 3: Cross multiply
    10,215.64x = 15,320.22 × 3,975.24
  4. Step 4: Simplify right side
    10,215.64x = 60,901,551.35
  5. Step 5: Solve for x
    x = 60,901,551.35/10,215.64
  6. Step 6: Final answer
    x = 5,961.60

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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.