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Finding the Fourth Proportional to 10,302.54, 15,453.82 and 4,754.25

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Solution

The fourth proportional to 10,302.54, 15,453.82 and 4,754.25 is: 7,131.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.54 : 15,453.82 = 4,754.25 : x
  2. Step 2: Convert to fraction form
    10,302.54/15,453.82 = 4,754.25/x
  3. Step 3: Cross multiply
    10,302.54x = 15,453.82 × 4,754.25
  4. Step 4: Simplify right side
    10,302.54x = 73,471,323.74
  5. Step 5: Solve for x
    x = 73,471,323.74/10,302.54
  6. Step 6: Final answer
    x = 7,131.38

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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.