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Finding the Fourth Proportional to 7,808.02, 10,772.42 and 4,448.45

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Solution

The fourth proportional to 7,808.02, 10,772.42 and 4,448.45 is: 6,137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.02 : 10,772.42 = 4,448.45 : x
  2. Step 2: Convert to fraction form
    7,808.02/10,772.42 = 4,448.45/x
  3. Step 3: Cross multiply
    7,808.02x = 10,772.42 × 4,448.45
  4. Step 4: Simplify right side
    7,808.02x = 47,920,576.44
  5. Step 5: Solve for x
    x = 47,920,576.44/7,808.02
  6. Step 6: Final answer
    x = 6,137.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.