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Finding the Fourth Proportional to 7,071.55, 10,607.35 and 2,141.23

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Solution

The fourth proportional to 7,071.55, 10,607.35 and 2,141.23 is: 3,211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.55 : 10,607.35 = 2,141.23 : x
  2. Step 2: Convert to fraction form
    7,071.55/10,607.35 = 2,141.23/x
  3. Step 3: Cross multiply
    7,071.55x = 10,607.35 × 2,141.23
  4. Step 4: Simplify right side
    7,071.55x = 22,712,759.11
  5. Step 5: Solve for x
    x = 22,712,759.11/7,071.55
  6. Step 6: Final answer
    x = 3,211.85

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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.