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Finding the Fourth Proportional to 10,431.72, 14,395.79 and 5,716

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Solution

The fourth proportional to 10,431.72, 14,395.79 and 5,716 is: 7,888.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.72 : 14,395.79 = 5,716 : x
  2. Step 2: Convert to fraction form
    10,431.72/14,395.79 = 5,716/x
  3. Step 3: Cross multiply
    10,431.72x = 14,395.79 × 5,716
  4. Step 4: Simplify right side
    10,431.72x = 82,286,335.64
  5. Step 5: Solve for x
    x = 82,286,335.64/10,431.72
  6. Step 6: Final answer
    x = 7,888.09

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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.