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Finding the Fourth Proportional to 7,130.71, 10,697.01 and 2,199.70

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Solution

The fourth proportional to 7,130.71, 10,697.01 and 2,199.70 is: 3,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.71 : 10,697.01 = 2,199.70 : x
  2. Step 2: Convert to fraction form
    7,130.71/10,697.01 = 2,199.70/x
  3. Step 3: Cross multiply
    7,130.71x = 10,697.01 × 2,199.70
  4. Step 4: Simplify right side
    7,130.71x = 23,530,212.90
  5. Step 5: Solve for x
    x = 23,530,212.90/7,130.71
  6. Step 6: Final answer
    x = 3,299.84

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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.