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Finding the Fourth Proportional to 25,238.80, 37,856.83 and 7,707.26

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Solution

The fourth proportional to 25,238.80, 37,856.83 and 7,707.26 is: 11,560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,238.80 : 37,856.83 = 7,707.26 : x
  2. Step 2: Convert to fraction form
    25,238.80/37,856.83 = 7,707.26/x
  3. Step 3: Cross multiply
    25,238.80x = 37,856.83 × 7,707.26
  4. Step 4: Simplify right side
    25,238.80x = 291,772,431.59
  5. Step 5: Solve for x
    x = 291,772,431.59/25,238.80
  6. Step 6: Final answer
    x = 11,560.47

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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.