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Finding the Fourth Proportional to 7,005.94, 10,508.77 and 1,740.96

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Solution

The fourth proportional to 7,005.94, 10,508.77 and 1,740.96 is: 2,611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.94 : 10,508.77 = 1,740.96 : x
  2. Step 2: Convert to fraction form
    7,005.94/10,508.77 = 1,740.96/x
  3. Step 3: Cross multiply
    7,005.94x = 10,508.77 × 1,740.96
  4. Step 4: Simplify right side
    7,005.94x = 18,295,348.22
  5. Step 5: Solve for x
    x = 18,295,348.22/7,005.94
  6. Step 6: Final answer
    x = 2,611.41

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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.