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Finding the Fourth Proportional to 7,102.91, 10,655.56 and 2,171.40

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Solution

The fourth proportional to 7,102.91, 10,655.56 and 2,171.40 is: 3,257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.91 : 10,655.56 = 2,171.40 : x
  2. Step 2: Convert to fraction form
    7,102.91/10,655.56 = 2,171.40/x
  3. Step 3: Cross multiply
    7,102.91x = 10,655.56 × 2,171.40
  4. Step 4: Simplify right side
    7,102.91x = 23,137,429.71
  5. Step 5: Solve for x
    x = 23,137,429.71/7,102.91
  6. Step 6: Final answer
    x = 3,257.46

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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.