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Finding the Fourth Proportional to 10,431.56, 14,399.70 and 6,239

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Solution

The fourth proportional to 10,431.56, 14,399.70 and 6,239 is: 8,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.56 : 14,399.70 = 6,239 : x
  2. Step 2: Convert to fraction form
    10,431.56/14,399.70 = 6,239/x
  3. Step 3: Cross multiply
    10,431.56x = 14,399.70 × 6,239
  4. Step 4: Simplify right side
    10,431.56x = 89,839,728.30
  5. Step 5: Solve for x
    x = 89,839,728.30/10,431.56
  6. Step 6: Final answer
    x = 8,612.30

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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.