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Finding the Fourth Proportional to 7,102.26, 10,657.98 and 3,206.46

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Solution

The fourth proportional to 7,102.26, 10,657.98 and 3,206.46 is: 4,811.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.26 : 10,657.98 = 3,206.46 : x
  2. Step 2: Convert to fraction form
    7,102.26/10,657.98 = 3,206.46/x
  3. Step 3: Cross multiply
    7,102.26x = 10,657.98 × 3,206.46
  4. Step 4: Simplify right side
    7,102.26x = 34,174,386.55
  5. Step 5: Solve for x
    x = 34,174,386.55/7,102.26
  6. Step 6: Final answer
    x = 4,811.76

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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.