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Finding the Fourth Proportional to 7,457.20, 11,176.20 and 5,717.20

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Solution

The fourth proportional to 7,457.20, 11,176.20 and 5,717.20 is: 8,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.20 : 11,176.20 = 5,717.20 : x
  2. Step 2: Convert to fraction form
    7,457.20/11,176.20 = 5,717.20/x
  3. Step 3: Cross multiply
    7,457.20x = 11,176.20 × 5,717.20
  4. Step 4: Simplify right side
    7,457.20x = 63,896,570.64
  5. Step 5: Solve for x
    x = 63,896,570.64/7,457.20
  6. Step 6: Final answer
    x = 8,568.44

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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.