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Finding the Fourth Proportional to 6,762.14, 10,146.87 and 3,064.08

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Solution

The fourth proportional to 6,762.14, 10,146.87 and 3,064.08 is: 4,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.14 : 10,146.87 = 3,064.08 : x
  2. Step 2: Convert to fraction form
    6,762.14/10,146.87 = 3,064.08/x
  3. Step 3: Cross multiply
    6,762.14x = 10,146.87 × 3,064.08
  4. Step 4: Simplify right side
    6,762.14x = 31,090,821.43
  5. Step 5: Solve for x
    x = 31,090,821.43/6,762.14
  6. Step 6: Final answer
    x = 4,597.78

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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.