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Finding the Fourth Proportional to 8,223.04, 12,336.16 and 3,606

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Solution

The fourth proportional to 8,223.04, 12,336.16 and 3,606 is: 5,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.04 : 12,336.16 = 3,606 : x
  2. Step 2: Convert to fraction form
    8,223.04/12,336.16 = 3,606/x
  3. Step 3: Cross multiply
    8,223.04x = 12,336.16 × 3,606
  4. Step 4: Simplify right side
    8,223.04x = 44,484,192.96
  5. Step 5: Solve for x
    x = 44,484,192.96/8,223.04
  6. Step 6: Final answer
    x = 5,409.70

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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.