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Finding the Fourth Proportional to 8,821.64, 13,215.26 and 4,914.28

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Solution

The fourth proportional to 8,821.64, 13,215.26 and 4,914.28 is: 7,361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.64 : 13,215.26 = 4,914.28 : x
  2. Step 2: Convert to fraction form
    8,821.64/13,215.26 = 4,914.28/x
  3. Step 3: Cross multiply
    8,821.64x = 13,215.26 × 4,914.28
  4. Step 4: Simplify right side
    8,821.64x = 64,943,487.91
  5. Step 5: Solve for x
    x = 64,943,487.91/8,821.64
  6. Step 6: Final answer
    x = 7,361.84

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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.