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Finding the Fourth Proportional to 7,102.16, 10,653.20 and 2,171.78

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Solution

The fourth proportional to 7,102.16, 10,653.20 and 2,171.78 is: 3,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.16 : 10,653.20 = 2,171.78 : x
  2. Step 2: Convert to fraction form
    7,102.16/10,653.20 = 2,171.78/x
  3. Step 3: Cross multiply
    7,102.16x = 10,653.20 × 2,171.78
  4. Step 4: Simplify right side
    7,102.16x = 23,136,422.47
  5. Step 5: Solve for x
    x = 23,136,422.47/7,102.16
  6. Step 6: Final answer
    x = 3,257.66

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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.