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Finding the Fourth Proportional to 25,190.16, 37,785.26 and 7,660

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Solution

The fourth proportional to 25,190.16, 37,785.26 and 7,660 is: 11,490.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,190.16 : 37,785.26 = 7,660 : x
  2. Step 2: Convert to fraction form
    25,190.16/37,785.26 = 7,660/x
  3. Step 3: Cross multiply
    25,190.16x = 37,785.26 × 7,660
  4. Step 4: Simplify right side
    25,190.16x = 289,435,091.60
  5. Step 5: Solve for x
    x = 289,435,091.60/25,190.16
  6. Step 6: Final answer
    x = 11,490.01

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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.