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Finding the Fourth Proportional to 6,926.84, 10,393.50 and 4,007.60

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Solution

The fourth proportional to 6,926.84, 10,393.50 and 4,007.60 is: 6,013.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.84 : 10,393.50 = 4,007.60 : x
  2. Step 2: Convert to fraction form
    6,926.84/10,393.50 = 4,007.60/x
  3. Step 3: Cross multiply
    6,926.84x = 10,393.50 × 4,007.60
  4. Step 4: Simplify right side
    6,926.84x = 41,652,990.60
  5. Step 5: Solve for x
    x = 41,652,990.60/6,926.84
  6. Step 6: Final answer
    x = 6,013.27

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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.