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Finding the Fourth Proportional to 6,812.64, 10,201.48 and 4,465.71

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Solution

The fourth proportional to 6,812.64, 10,201.48 and 4,465.71 is: 6,687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.64 : 10,201.48 = 4,465.71 : x
  2. Step 2: Convert to fraction form
    6,812.64/10,201.48 = 4,465.71/x
  3. Step 3: Cross multiply
    6,812.64x = 10,201.48 × 4,465.71
  4. Step 4: Simplify right side
    6,812.64x = 45,556,840.09
  5. Step 5: Solve for x
    x = 45,556,840.09/6,812.64
  6. Step 6: Final answer
    x = 6,687.11

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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.