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Finding the Fourth Proportional to 10,485.66, 15,728.46 and 2,694.45

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Solution

The fourth proportional to 10,485.66, 15,728.46 and 2,694.45 is: 4,041.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.66 : 15,728.46 = 2,694.45 : x
  2. Step 2: Convert to fraction form
    10,485.66/15,728.46 = 2,694.45/x
  3. Step 3: Cross multiply
    10,485.66x = 15,728.46 × 2,694.45
  4. Step 4: Simplify right side
    10,485.66x = 42,379,549.05
  5. Step 5: Solve for x
    x = 42,379,549.05/10,485.66
  6. Step 6: Final answer
    x = 4,041.67

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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.