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Finding the Fourth Proportional to 7,071.60, 10,607.05 and 2,911.55

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Solution

The fourth proportional to 7,071.60, 10,607.05 and 2,911.55 is: 4,367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.60 : 10,607.05 = 2,911.55 : x
  2. Step 2: Convert to fraction form
    7,071.60/10,607.05 = 2,911.55/x
  3. Step 3: Cross multiply
    7,071.60x = 10,607.05 × 2,911.55
  4. Step 4: Simplify right side
    7,071.60x = 30,882,907.03
  5. Step 5: Solve for x
    x = 30,882,907.03/7,071.60
  6. Step 6: Final answer
    x = 4,367.17

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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.