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Finding the Fourth Proportional to 7,970.94, 11,953.44 and 2,704.59

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Solution

The fourth proportional to 7,970.94, 11,953.44 and 2,704.59 is: 4,055.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.94 : 11,953.44 = 2,704.59 : x
  2. Step 2: Convert to fraction form
    7,970.94/11,953.44 = 2,704.59/x
  3. Step 3: Cross multiply
    7,970.94x = 11,953.44 × 2,704.59
  4. Step 4: Simplify right side
    7,970.94x = 32,329,154.29
  5. Step 5: Solve for x
    x = 32,329,154.29/7,970.94
  6. Step 6: Final answer
    x = 4,055.88

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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.