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Finding the Fourth Proportional to 6,762.87, 10,142.69 and 2,320.02

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Solution

The fourth proportional to 6,762.87, 10,142.69 and 2,320.02 is: 3,479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.87 : 10,142.69 = 2,320.02 : x
  2. Step 2: Convert to fraction form
    6,762.87/10,142.69 = 2,320.02/x
  3. Step 3: Cross multiply
    6,762.87x = 10,142.69 × 2,320.02
  4. Step 4: Simplify right side
    6,762.87x = 23,531,232.05
  5. Step 5: Solve for x
    x = 23,531,232.05/6,762.87
  6. Step 6: Final answer
    x = 3,479.47

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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.