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Finding the Fourth Proportional to 7,457.16, 11,177.54 and 3,072.22

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Solution

The fourth proportional to 7,457.16, 11,177.54 and 3,072.22 is: 4,604.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.16 : 11,177.54 = 3,072.22 : x
  2. Step 2: Convert to fraction form
    7,457.16/11,177.54 = 3,072.22/x
  3. Step 3: Cross multiply
    7,457.16x = 11,177.54 × 3,072.22
  4. Step 4: Simplify right side
    7,457.16x = 34,339,861.94
  5. Step 5: Solve for x
    x = 34,339,861.94/7,457.16
  6. Step 6: Final answer
    x = 4,604.95

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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.