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Finding the Fourth Proportional to 7,170.58, 10,751.70 and 2,782.91

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Solution

The fourth proportional to 7,170.58, 10,751.70 and 2,782.91 is: 4,172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.58 : 10,751.70 = 2,782.91 : x
  2. Step 2: Convert to fraction form
    7,170.58/10,751.70 = 2,782.91/x
  3. Step 3: Cross multiply
    7,170.58x = 10,751.70 × 2,782.91
  4. Step 4: Simplify right side
    7,170.58x = 29,921,027.28
  5. Step 5: Solve for x
    x = 29,921,027.28/7,170.58
  6. Step 6: Final answer
    x = 4,172.75

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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.