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Finding the Fourth Proportional to 10,464.28, 15,683.06 and 4,905.37

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Solution

The fourth proportional to 10,464.28, 15,683.06 and 4,905.37 is: 7,351.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.28 : 15,683.06 = 4,905.37 : x
  2. Step 2: Convert to fraction form
    10,464.28/15,683.06 = 4,905.37/x
  3. Step 3: Cross multiply
    10,464.28x = 15,683.06 × 4,905.37
  4. Step 4: Simplify right side
    10,464.28x = 76,931,212.03
  5. Step 5: Solve for x
    x = 76,931,212.03/10,464.28
  6. Step 6: Final answer
    x = 7,351.79

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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.