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Finding the Fourth Proportional to 6,975.67, 10,457.43 and 2,815.51

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Solution

The fourth proportional to 6,975.67, 10,457.43 and 2,815.51 is: 4,220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.67 : 10,457.43 = 2,815.51 : x
  2. Step 2: Convert to fraction form
    6,975.67/10,457.43 = 2,815.51/x
  3. Step 3: Cross multiply
    6,975.67x = 10,457.43 × 2,815.51
  4. Step 4: Simplify right side
    6,975.67x = 29,442,998.74
  5. Step 5: Solve for x
    x = 29,442,998.74/6,975.67
  6. Step 6: Final answer
    x = 4,220.81

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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.