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Finding the Fourth Proportional to 7,085.59, 10,628.40 and 3,185.44

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Solution

The fourth proportional to 7,085.59, 10,628.40 and 3,185.44 is: 4,778.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.59 : 10,628.40 = 3,185.44 : x
  2. Step 2: Convert to fraction form
    7,085.59/10,628.40 = 3,185.44/x
  3. Step 3: Cross multiply
    7,085.59x = 10,628.40 × 3,185.44
  4. Step 4: Simplify right side
    7,085.59x = 33,856,157.74
  5. Step 5: Solve for x
    x = 33,856,157.74/7,085.59
  6. Step 6: Final answer
    x = 4,778.17

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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.