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Finding the Fourth Proportional to 6,934.02, 10,392.03 and 5,284.50

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Solution

The fourth proportional to 6,934.02, 10,392.03 and 5,284.50 is: 7,919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.02 : 10,392.03 = 5,284.50 : x
  2. Step 2: Convert to fraction form
    6,934.02/10,392.03 = 5,284.50/x
  3. Step 3: Cross multiply
    6,934.02x = 10,392.03 × 5,284.50
  4. Step 4: Simplify right side
    6,934.02x = 54,916,682.54
  5. Step 5: Solve for x
    x = 54,916,682.54/6,934.02
  6. Step 6: Final answer
    x = 7,919.89

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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.