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Finding the Fourth Proportional to 10,358.44, 15,533.88 and 3,782.68

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Solution

The fourth proportional to 10,358.44, 15,533.88 and 3,782.68 is: 5,672.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.44 : 15,533.88 = 3,782.68 : x
  2. Step 2: Convert to fraction form
    10,358.44/15,533.88 = 3,782.68/x
  3. Step 3: Cross multiply
    10,358.44x = 15,533.88 × 3,782.68
  4. Step 4: Simplify right side
    10,358.44x = 58,759,697.20
  5. Step 5: Solve for x
    x = 58,759,697.20/10,358.44
  6. Step 6: Final answer
    x = 5,672.64

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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.