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Finding the Fourth Proportional to 25,275.65, 37,910.16 and 7,505.94

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Solution

The fourth proportional to 25,275.65, 37,910.16 and 7,505.94 is: 11,257.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,275.65 : 37,910.16 = 7,505.94 : x
  2. Step 2: Convert to fraction form
    25,275.65/37,910.16 = 7,505.94/x
  3. Step 3: Cross multiply
    25,275.65x = 37,910.16 × 7,505.94
  4. Step 4: Simplify right side
    25,275.65x = 284,551,453.56
  5. Step 5: Solve for x
    x = 284,551,453.56/25,275.65
  6. Step 6: Final answer
    x = 11,257.93

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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.