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Finding the Fourth Proportional to 6,762.07, 10,142.46 and 4,796.10

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Solution

The fourth proportional to 6,762.07, 10,142.46 and 4,796.10 is: 7,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.07 : 10,142.46 = 4,796.10 : x
  2. Step 2: Convert to fraction form
    6,762.07/10,142.46 = 4,796.10/x
  3. Step 3: Cross multiply
    6,762.07x = 10,142.46 × 4,796.10
  4. Step 4: Simplify right side
    6,762.07x = 48,644,252.41
  5. Step 5: Solve for x
    x = 48,644,252.41/6,762.07
  6. Step 6: Final answer
    x = 7,193.69

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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.