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Finding the Fourth Proportional to 6,859.68, 10,289.51 and 3,160.81

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Solution

The fourth proportional to 6,859.68, 10,289.51 and 3,160.81 is: 4,741.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.68 : 10,289.51 = 3,160.81 : x
  2. Step 2: Convert to fraction form
    6,859.68/10,289.51 = 3,160.81/x
  3. Step 3: Cross multiply
    6,859.68x = 10,289.51 × 3,160.81
  4. Step 4: Simplify right side
    6,859.68x = 32,523,186.10
  5. Step 5: Solve for x
    x = 32,523,186.10/6,859.68
  6. Step 6: Final answer
    x = 4,741.21

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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.