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Finding the Fourth Proportional to 11,202.61, 16,803.91 and 3,411.49

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Solution

The fourth proportional to 11,202.61, 16,803.91 and 3,411.49 is: 5,117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.61 : 16,803.91 = 3,411.49 : x
  2. Step 2: Convert to fraction form
    11,202.61/16,803.91 = 3,411.49/x
  3. Step 3: Cross multiply
    11,202.61x = 16,803.91 × 3,411.49
  4. Step 4: Simplify right side
    11,202.61x = 57,326,333.18
  5. Step 5: Solve for x
    x = 57,326,333.18/11,202.61
  6. Step 6: Final answer
    x = 5,117.23

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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.