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Finding the Fourth Proportional to 10,485.75, 15,728.63 and 2,694.57

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Solution

The fourth proportional to 10,485.75, 15,728.63 and 2,694.57 is: 4,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.75 : 15,728.63 = 2,694.57 : x
  2. Step 2: Convert to fraction form
    10,485.75/15,728.63 = 2,694.57/x
  3. Step 3: Cross multiply
    10,485.75x = 15,728.63 × 2,694.57
  4. Step 4: Simplify right side
    10,485.75x = 42,381,881.07
  5. Step 5: Solve for x
    x = 42,381,881.07/10,485.75
  6. Step 6: Final answer
    x = 4,041.86

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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.