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Finding the Fourth Proportional to 25,812.35, 38,713.89 and 6,837.10

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Solution

The fourth proportional to 25,812.35, 38,713.89 and 6,837.10 is: 10,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,812.35 : 38,713.89 = 6,837.10 : x
  2. Step 2: Convert to fraction form
    25,812.35/38,713.89 = 6,837.10/x
  3. Step 3: Cross multiply
    25,812.35x = 38,713.89 × 6,837.10
  4. Step 4: Simplify right side
    25,812.35x = 264,690,737.32
  5. Step 5: Solve for x
    x = 264,690,737.32/25,812.35
  6. Step 6: Final answer
    x = 10,254.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.