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Finding the Fourth Proportional to 7,102.66, 10,655.18 and 2,171.15

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Solution

The fourth proportional to 7,102.66, 10,655.18 and 2,171.15 is: 3,257.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.66 : 10,655.18 = 2,171.15 : x
  2. Step 2: Convert to fraction form
    7,102.66/10,655.18 = 2,171.15/x
  3. Step 3: Cross multiply
    7,102.66x = 10,655.18 × 2,171.15
  4. Step 4: Simplify right side
    7,102.66x = 23,133,960.27
  5. Step 5: Solve for x
    x = 23,133,960.27/7,102.66
  6. Step 6: Final answer
    x = 3,257.08

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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.