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Finding the Fourth Proportional to 6,735.68, 10,095.95 and 2,289.19

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Solution

The fourth proportional to 6,735.68, 10,095.95 and 2,289.19 is: 3,431.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.68 : 10,095.95 = 2,289.19 : x
  2. Step 2: Convert to fraction form
    6,735.68/10,095.95 = 2,289.19/x
  3. Step 3: Cross multiply
    6,735.68x = 10,095.95 × 2,289.19
  4. Step 4: Simplify right side
    6,735.68x = 23,111,534.37
  5. Step 5: Solve for x
    x = 23,111,534.37/6,735.68
  6. Step 6: Final answer
    x = 3,431.21

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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.