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Finding the Fourth Proportional to 4,473.15, 6,709.80 and 1,186.23

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Solution

The fourth proportional to 4,473.15, 6,709.80 and 1,186.23 is: 1,779.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.15 : 6,709.80 = 1,186.23 : x
  2. Step 2: Convert to fraction form
    4,473.15/6,709.80 = 1,186.23/x
  3. Step 3: Cross multiply
    4,473.15x = 6,709.80 × 1,186.23
  4. Step 4: Simplify right side
    4,473.15x = 7,959,366.05
  5. Step 5: Solve for x
    x = 7,959,366.05/4,473.15
  6. Step 6: Final answer
    x = 1,779.36

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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.