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Finding the Fourth Proportional to 7,970.19, 11,954.87 and 2,423.41

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Solution

The fourth proportional to 7,970.19, 11,954.87 and 2,423.41 is: 3,634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.19 : 11,954.87 = 2,423.41 : x
  2. Step 2: Convert to fraction form
    7,970.19/11,954.87 = 2,423.41/x
  3. Step 3: Cross multiply
    7,970.19x = 11,954.87 × 2,423.41
  4. Step 4: Simplify right side
    7,970.19x = 28,971,551.51
  5. Step 5: Solve for x
    x = 28,971,551.51/7,970.19
  6. Step 6: Final answer
    x = 3,634.99

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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.