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Finding the Fourth Proportional to 11,297.52, 16,946.28 and 3,089.52

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Solution

The fourth proportional to 11,297.52, 16,946.28 and 3,089.52 is: 4,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.52 : 16,946.28 = 3,089.52 : x
  2. Step 2: Convert to fraction form
    11,297.52/16,946.28 = 3,089.52/x
  3. Step 3: Cross multiply
    11,297.52x = 16,946.28 × 3,089.52
  4. Step 4: Simplify right side
    11,297.52x = 52,355,870.99
  5. Step 5: Solve for x
    x = 52,355,870.99/11,297.52
  6. Step 6: Final answer
    x = 4,634.28

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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.