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Finding the Fourth Proportional to 10,431.80, 14,395.89 and 5,716.08

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Solution

The fourth proportional to 10,431.80, 14,395.89 and 5,716.08 is: 7,888.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.80 : 14,395.89 = 5,716.08 : x
  2. Step 2: Convert to fraction form
    10,431.80/14,395.89 = 5,716.08/x
  3. Step 3: Cross multiply
    10,431.80x = 14,395.89 × 5,716.08
  4. Step 4: Simplify right side
    10,431.80x = 82,288,058.91
  5. Step 5: Solve for x
    x = 82,288,058.91/10,431.80
  6. Step 6: Final answer
    x = 7,888.19

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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.