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Finding the Fourth Proportional to 7,297.76, 10,946.50 and 2,103.60

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Solution

The fourth proportional to 7,297.76, 10,946.50 and 2,103.60 is: 3,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.76 : 10,946.50 = 2,103.60 : x
  2. Step 2: Convert to fraction form
    7,297.76/10,946.50 = 2,103.60/x
  3. Step 3: Cross multiply
    7,297.76x = 10,946.50 × 2,103.60
  4. Step 4: Simplify right side
    7,297.76x = 23,027,057.40
  5. Step 5: Solve for x
    x = 23,027,057.40/7,297.76
  6. Step 6: Final answer
    x = 3,155.36

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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.