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Finding the Fourth Proportional to 7,457.96, 10,290.64 and 4,227.79

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Solution

The fourth proportional to 7,457.96, 10,290.64 and 4,227.79 is: 5,833.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.96 : 10,290.64 = 4,227.79 : x
  2. Step 2: Convert to fraction form
    7,457.96/10,290.64 = 4,227.79/x
  3. Step 3: Cross multiply
    7,457.96x = 10,290.64 × 4,227.79
  4. Step 4: Simplify right side
    7,457.96x = 43,506,613.43
  5. Step 5: Solve for x
    x = 43,506,613.43/7,457.96
  6. Step 6: Final answer
    x = 5,833.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.