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Finding the Fourth Proportional to 25,878.56, 38,814.96 and 7,410.08

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Solution

The fourth proportional to 25,878.56, 38,814.96 and 7,410.08 is: 11,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,878.56 : 38,814.96 = 7,410.08 : x
  2. Step 2: Convert to fraction form
    25,878.56/38,814.96 = 7,410.08/x
  3. Step 3: Cross multiply
    25,878.56x = 38,814.96 × 7,410.08
  4. Step 4: Simplify right side
    25,878.56x = 287,621,958.80
  5. Step 5: Solve for x
    x = 287,621,958.80/25,878.56
  6. Step 6: Final answer
    x = 11,114.30

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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.