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Finding the Fourth Proportional to 4,675.05, 7,012.41 and 1,165.05

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Solution

The fourth proportional to 4,675.05, 7,012.41 and 1,165.05 is: 1,747.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.05 : 7,012.41 = 1,165.05 : x
  2. Step 2: Convert to fraction form
    4,675.05/7,012.41 = 1,165.05/x
  3. Step 3: Cross multiply
    4,675.05x = 7,012.41 × 1,165.05
  4. Step 4: Simplify right side
    4,675.05x = 8,169,808.27
  5. Step 5: Solve for x
    x = 8,169,808.27/4,675.05
  6. Step 6: Final answer
    x = 1,747.53

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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.