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Finding the Fourth Proportional to 8,921.64, 13,376.64 and 4,533

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Solution

The fourth proportional to 8,921.64, 13,376.64 and 4,533 is: 6,796.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,921.64 : 13,376.64 = 4,533 : x
  2. Step 2: Convert to fraction form
    8,921.64/13,376.64 = 4,533/x
  3. Step 3: Cross multiply
    8,921.64x = 13,376.64 × 4,533
  4. Step 4: Simplify right side
    8,921.64x = 60,636,309.12
  5. Step 5: Solve for x
    x = 60,636,309.12/8,921.64
  6. Step 6: Final answer
    x = 6,796.54

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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.