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Finding the Fourth Proportional to 10,328.28, 15,467.78 and 5,641.28

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Solution

The fourth proportional to 10,328.28, 15,467.78 and 5,641.28 is: 8,448.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.28 : 15,467.78 = 5,641.28 : x
  2. Step 2: Convert to fraction form
    10,328.28/15,467.78 = 5,641.28/x
  3. Step 3: Cross multiply
    10,328.28x = 15,467.78 × 5,641.28
  4. Step 4: Simplify right side
    10,328.28x = 87,258,077.96
  5. Step 5: Solve for x
    x = 87,258,077.96/10,328.28
  6. Step 6: Final answer
    x = 8,448.46

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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.