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Finding the Fourth Proportional to 10,616.36, 15,924.57 and 3,220.88

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Solution

The fourth proportional to 10,616.36, 15,924.57 and 3,220.88 is: 4,831.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.36 : 15,924.57 = 3,220.88 : x
  2. Step 2: Convert to fraction form
    10,616.36/15,924.57 = 3,220.88/x
  3. Step 3: Cross multiply
    10,616.36x = 15,924.57 × 3,220.88
  4. Step 4: Simplify right side
    10,616.36x = 51,291,037.32
  5. Step 5: Solve for x
    x = 51,291,037.32/10,616.36
  6. Step 6: Final answer
    x = 4,831.32

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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.