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Finding the Fourth Proportional to 7,457.72, 10,291.74 and 4,270.88

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Solution

The fourth proportional to 7,457.72, 10,291.74 and 4,270.88 is: 5,893.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.72 : 10,291.74 = 4,270.88 : x
  2. Step 2: Convert to fraction form
    7,457.72/10,291.74 = 4,270.88/x
  3. Step 3: Cross multiply
    7,457.72x = 10,291.74 × 4,270.88
  4. Step 4: Simplify right side
    7,457.72x = 43,954,786.53
  5. Step 5: Solve for x
    x = 43,954,786.53/7,457.72
  6. Step 6: Final answer
    x = 5,893.86

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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.