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Finding the Fourth Proportional to 7,457.76, 11,193.72 and 2,782.20

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Solution

The fourth proportional to 7,457.76, 11,193.72 and 2,782.20 is: 4,175.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.76 : 11,193.72 = 2,782.20 : x
  2. Step 2: Convert to fraction form
    7,457.76/11,193.72 = 2,782.20/x
  3. Step 3: Cross multiply
    7,457.76x = 11,193.72 × 2,782.20
  4. Step 4: Simplify right side
    7,457.76x = 31,143,167.78
  5. Step 5: Solve for x
    x = 31,143,167.78/7,457.76
  6. Step 6: Final answer
    x = 4,175.94

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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.