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Finding the Fourth Proportional to 11,563.80, 17,353.80 and 4,994.70

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Solution

The fourth proportional to 11,563.80, 17,353.80 and 4,994.70 is: 7,495.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.80 : 17,353.80 = 4,994.70 : x
  2. Step 2: Convert to fraction form
    11,563.80/17,353.80 = 4,994.70/x
  3. Step 3: Cross multiply
    11,563.80x = 17,353.80 × 4,994.70
  4. Step 4: Simplify right side
    11,563.80x = 86,677,024.86
  5. Step 5: Solve for x
    x = 86,677,024.86/11,563.80
  6. Step 6: Final answer
    x = 7,495.55

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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.