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Finding the Fourth Proportional to 7,970.70, 11,956.04 and 2,424.02

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Solution

The fourth proportional to 7,970.70, 11,956.04 and 2,424.02 is: 3,636.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.70 : 11,956.04 = 2,424.02 : x
  2. Step 2: Convert to fraction form
    7,970.70/11,956.04 = 2,424.02/x
  3. Step 3: Cross multiply
    7,970.70x = 11,956.04 × 2,424.02
  4. Step 4: Simplify right side
    7,970.70x = 28,981,680.08
  5. Step 5: Solve for x
    x = 28,981,680.08/7,970.70
  6. Step 6: Final answer
    x = 3,636.03

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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.