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Finding the Fourth Proportional to 7,694.62, 11,533.84 and 4,358.70

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Solution

The fourth proportional to 7,694.62, 11,533.84 and 4,358.70 is: 6,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.62 : 11,533.84 = 4,358.70 : x
  2. Step 2: Convert to fraction form
    7,694.62/11,533.84 = 4,358.70/x
  3. Step 3: Cross multiply
    7,694.62x = 11,533.84 × 4,358.70
  4. Step 4: Simplify right side
    7,694.62x = 50,272,548.41
  5. Step 5: Solve for x
    x = 50,272,548.41/7,694.62
  6. Step 6: Final answer
    x = 6,533.47

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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.