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Finding the Fourth Proportional to 10,054.44, 15,079.60 and 3,812.30

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Solution

The fourth proportional to 10,054.44, 15,079.60 and 3,812.30 is: 5,717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.44 : 15,079.60 = 3,812.30 : x
  2. Step 2: Convert to fraction form
    10,054.44/15,079.60 = 3,812.30/x
  3. Step 3: Cross multiply
    10,054.44x = 15,079.60 × 3,812.30
  4. Step 4: Simplify right side
    10,054.44x = 57,487,959.08
  5. Step 5: Solve for x
    x = 57,487,959.08/10,054.44
  6. Step 6: Final answer
    x = 5,717.67

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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.