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Finding the Fourth Proportional to 10,007.44, 15,015.46 and 5,618.32

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Solution

The fourth proportional to 10,007.44, 15,015.46 and 5,618.32 is: 8,429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.44 : 15,015.46 = 5,618.32 : x
  2. Step 2: Convert to fraction form
    10,007.44/15,015.46 = 5,618.32/x
  3. Step 3: Cross multiply
    10,007.44x = 15,015.46 × 5,618.32
  4. Step 4: Simplify right side
    10,007.44x = 84,361,659.23
  5. Step 5: Solve for x
    x = 84,361,659.23/10,007.44
  6. Step 6: Final answer
    x = 8,429.89

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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.