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Finding the Fourth Proportional to 11,563.41, 17,346.93 and 4,899.92

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Solution

The fourth proportional to 11,563.41, 17,346.93 and 4,899.92 is: 7,350.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.41 : 17,346.93 = 4,899.92 : x
  2. Step 2: Convert to fraction form
    11,563.41/17,346.93 = 4,899.92/x
  3. Step 3: Cross multiply
    11,563.41x = 17,346.93 × 4,899.92
  4. Step 4: Simplify right side
    11,563.41x = 84,998,617.53
  5. Step 5: Solve for x
    x = 84,998,617.53/11,563.41
  6. Step 6: Final answer
    x = 7,350.65

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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.