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Finding the Fourth Proportional to 10,457.29, 14,431.33 and 5,919.63

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Solution

The fourth proportional to 10,457.29, 14,431.33 and 5,919.63 is: 8,169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.29 : 14,431.33 = 5,919.63 : x
  2. Step 2: Convert to fraction form
    10,457.29/14,431.33 = 5,919.63/x
  3. Step 3: Cross multiply
    10,457.29x = 14,431.33 × 5,919.63
  4. Step 4: Simplify right side
    10,457.29x = 85,428,134.01
  5. Step 5: Solve for x
    x = 85,428,134.01/10,457.29
  6. Step 6: Final answer
    x = 8,169.24

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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.