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Finding the Fourth Proportional to 7,148.60, 10,722.76 and 1,954.44

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Solution

The fourth proportional to 7,148.60, 10,722.76 and 1,954.44 is: 2,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.60 : 10,722.76 = 1,954.44 : x
  2. Step 2: Convert to fraction form
    7,148.60/10,722.76 = 1,954.44/x
  3. Step 3: Cross multiply
    7,148.60x = 10,722.76 × 1,954.44
  4. Step 4: Simplify right side
    7,148.60x = 20,956,991.05
  5. Step 5: Solve for x
    x = 20,956,991.05/7,148.60
  6. Step 6: Final answer
    x = 2,931.62

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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.