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Finding the Fourth Proportional to 10,431.77, 14,396.07 and 5,716.05

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Solution

The fourth proportional to 10,431.77, 14,396.07 and 5,716.05 is: 7,888.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.77 : 14,396.07 = 5,716.05 : x
  2. Step 2: Convert to fraction form
    10,431.77/14,396.07 = 5,716.05/x
  3. Step 3: Cross multiply
    10,431.77x = 14,396.07 × 5,716.05
  4. Step 4: Simplify right side
    10,431.77x = 82,288,627.34
  5. Step 5: Solve for x
    x = 82,288,627.34/10,431.77
  6. Step 6: Final answer
    x = 7,888.27

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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.