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Finding the Fourth Proportional to 12,505.75, 17,258.26 and 7,538.07

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Solution

The fourth proportional to 12,505.75, 17,258.26 and 7,538.07 is: 10,402.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,505.75 : 17,258.26 = 7,538.07 : x
  2. Step 2: Convert to fraction form
    12,505.75/17,258.26 = 7,538.07/x
  3. Step 3: Cross multiply
    12,505.75x = 17,258.26 × 7,538.07
  4. Step 4: Simplify right side
    12,505.75x = 130,093,934.27
  5. Step 5: Solve for x
    x = 130,093,934.27/12,505.75
  6. Step 6: Final answer
    x = 10,402.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.