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Finding the Fourth Proportional to 10,457.23, 14,431.01 and 5,741.82

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Solution

The fourth proportional to 10,457.23, 14,431.01 and 5,741.82 is: 7,923.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.23 : 14,431.01 = 5,741.82 : x
  2. Step 2: Convert to fraction form
    10,457.23/14,431.01 = 5,741.82/x
  3. Step 3: Cross multiply
    10,457.23x = 14,431.01 × 5,741.82
  4. Step 4: Simplify right side
    10,457.23x = 82,860,261.84
  5. Step 5: Solve for x
    x = 82,860,261.84/10,457.23
  6. Step 6: Final answer
    x = 7,923.73

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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.