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Finding the Fourth Proportional to 10,616.48, 15,924.76 and 3,221

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Solution

The fourth proportional to 10,616.48, 15,924.76 and 3,221 is: 4,831.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.48 : 15,924.76 = 3,221 : x
  2. Step 2: Convert to fraction form
    10,616.48/15,924.76 = 3,221/x
  3. Step 3: Cross multiply
    10,616.48x = 15,924.76 × 3,221
  4. Step 4: Simplify right side
    10,616.48x = 51,293,635.86
  5. Step 5: Solve for x
    x = 51,293,635.86/10,616.48
  6. Step 6: Final answer
    x = 4,831.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.