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Finding the Fourth Proportional to 4,475.77, 6,713.12 and 1,189.11

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Solution

The fourth proportional to 4,475.77, 6,713.12 and 1,189.11 is: 1,783.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475.77 : 6,713.12 = 1,189.11 : x
  2. Step 2: Convert to fraction form
    4,475.77/6,713.12 = 1,189.11/x
  3. Step 3: Cross multiply
    4,475.77x = 6,713.12 × 1,189.11
  4. Step 4: Simplify right side
    4,475.77x = 7,982,657.88
  5. Step 5: Solve for x
    x = 7,982,657.88/4,475.77
  6. Step 6: Final answer
    x = 1,783.53

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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.