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Finding the Fourth Proportional to 6,833.81, 10,247.22 and 4,495.14

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Solution

The fourth proportional to 6,833.81, 10,247.22 and 4,495.14 is: 6,740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.81 : 10,247.22 = 4,495.14 : x
  2. Step 2: Convert to fraction form
    6,833.81/10,247.22 = 4,495.14/x
  3. Step 3: Cross multiply
    6,833.81x = 10,247.22 × 4,495.14
  4. Step 4: Simplify right side
    6,833.81x = 46,062,688.51
  5. Step 5: Solve for x
    x = 46,062,688.51/6,833.81
  6. Step 6: Final answer
    x = 6,740.41

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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.