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Finding the Fourth Proportional to 11,800.49, 17,700.77 and 4,780.63

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Solution

The fourth proportional to 11,800.49, 17,700.77 and 4,780.63 is: 7,170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.49 : 17,700.77 = 4,780.63 : x
  2. Step 2: Convert to fraction form
    11,800.49/17,700.77 = 4,780.63/x
  3. Step 3: Cross multiply
    11,800.49x = 17,700.77 × 4,780.63
  4. Step 4: Simplify right side
    11,800.49x = 84,620,844.04
  5. Step 5: Solve for x
    x = 84,620,844.04/11,800.49
  6. Step 6: Final answer
    x = 7,170.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.