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Finding the Fourth Proportional to 10,457.44, 14,431.26 and 5,742.02

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Solution

The fourth proportional to 10,457.44, 14,431.26 and 5,742.02 is: 7,923.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.44 : 14,431.26 = 5,742.02 : x
  2. Step 2: Convert to fraction form
    10,457.44/14,431.26 = 5,742.02/x
  3. Step 3: Cross multiply
    10,457.44x = 14,431.26 × 5,742.02
  4. Step 4: Simplify right side
    10,457.44x = 82,864,641.16
  5. Step 5: Solve for x
    x = 82,864,641.16/10,457.44
  6. Step 6: Final answer
    x = 7,923.99

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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.