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Finding the Fourth Proportional to 10,457.22, 14,430.96 and 5,741.49

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Solution

The fourth proportional to 10,457.22, 14,430.96 and 5,741.49 is: 7,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.22 : 14,430.96 = 5,741.49 : x
  2. Step 2: Convert to fraction form
    10,457.22/14,430.96 = 5,741.49/x
  3. Step 3: Cross multiply
    10,457.22x = 14,430.96 × 5,741.49
  4. Step 4: Simplify right side
    10,457.22x = 82,855,212.53
  5. Step 5: Solve for x
    x = 82,855,212.53/10,457.22
  6. Step 6: Final answer
    x = 7,923.25

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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.