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Finding the Fourth Proportional to 7,071.60, 10,608.94 and 2,390.75

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Solution

The fourth proportional to 7,071.60, 10,608.94 and 2,390.75 is: 3,586.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.60 : 10,608.94 = 2,390.75 : x
  2. Step 2: Convert to fraction form
    7,071.60/10,608.94 = 2,390.75/x
  3. Step 3: Cross multiply
    7,071.60x = 10,608.94 × 2,390.75
  4. Step 4: Simplify right side
    7,071.60x = 25,363,313.03
  5. Step 5: Solve for x
    x = 25,363,313.03/7,071.60
  6. Step 6: Final answer
    x = 3,586.64

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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.