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Finding the Fourth Proportional to 11,202.98, 16,804.48 and 3,411.86

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Solution

The fourth proportional to 11,202.98, 16,804.48 and 3,411.86 is: 5,117.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.98 : 16,804.48 = 3,411.86 : x
  2. Step 2: Convert to fraction form
    11,202.98/16,804.48 = 3,411.86/x
  3. Step 3: Cross multiply
    11,202.98x = 16,804.48 × 3,411.86
  4. Step 4: Simplify right side
    11,202.98x = 57,334,566.61
  5. Step 5: Solve for x
    x = 57,334,566.61/11,202.98
  6. Step 6: Final answer
    x = 5,117.79

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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.