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Finding the Fourth Proportional to 7,102.16, 10,652.26 and 3,768.95

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Solution

The fourth proportional to 7,102.16, 10,652.26 and 3,768.95 is: 5,652.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.16 : 10,652.26 = 3,768.95 : x
  2. Step 2: Convert to fraction form
    7,102.16/10,652.26 = 3,768.95/x
  3. Step 3: Cross multiply
    7,102.16x = 10,652.26 × 3,768.95
  4. Step 4: Simplify right side
    7,102.16x = 40,147,852.54
  5. Step 5: Solve for x
    x = 40,147,852.54/7,102.16
  6. Step 6: Final answer
    x = 5,652.91

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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.