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Finding the Fourth Proportional to 8,305.28, 11,457.96 and 7,642.16

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Solution

The fourth proportional to 8,305.28, 11,457.96 and 7,642.16 is: 10,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.28 : 11,457.96 = 7,642.16 : x
  2. Step 2: Convert to fraction form
    8,305.28/11,457.96 = 7,642.16/x
  3. Step 3: Cross multiply
    8,305.28x = 11,457.96 × 7,642.16
  4. Step 4: Simplify right side
    8,305.28x = 87,563,563.59
  5. Step 5: Solve for x
    x = 87,563,563.59/8,305.28
  6. Step 6: Final answer
    x = 10,543.12

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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.