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Finding the Fourth Proportional to 25,235.27, 37,858.82 and 7,705.10

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Solution

The fourth proportional to 25,235.27, 37,858.82 and 7,705.10 is: 11,559.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,235.27 : 37,858.82 = 7,705.10 : x
  2. Step 2: Convert to fraction form
    25,235.27/37,858.82 = 7,705.10/x
  3. Step 3: Cross multiply
    25,235.27x = 37,858.82 × 7,705.10
  4. Step 4: Simplify right side
    25,235.27x = 291,705,993.98
  5. Step 5: Solve for x
    x = 291,705,993.98/25,235.27
  6. Step 6: Final answer
    x = 11,559.46

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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.