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Finding the Fourth Proportional to 10,276.68, 15,415.06 and 2,485.48

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Solution

The fourth proportional to 10,276.68, 15,415.06 and 2,485.48 is: 3,728.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,276.68 : 15,415.06 = 2,485.48 : x
  2. Step 2: Convert to fraction form
    10,276.68/15,415.06 = 2,485.48/x
  3. Step 3: Cross multiply
    10,276.68x = 15,415.06 × 2,485.48
  4. Step 4: Simplify right side
    10,276.68x = 38,313,823.33
  5. Step 5: Solve for x
    x = 38,313,823.33/10,276.68
  6. Step 6: Final answer
    x = 3,728.23

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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.