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Finding the Fourth Proportional to 10,845.84, 16,254.16 and 4,270.26

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Solution

The fourth proportional to 10,845.84, 16,254.16 and 4,270.26 is: 6,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,845.84 : 16,254.16 = 4,270.26 : x
  2. Step 2: Convert to fraction form
    10,845.84/16,254.16 = 4,270.26/x
  3. Step 3: Cross multiply
    10,845.84x = 16,254.16 × 4,270.26
  4. Step 4: Simplify right side
    10,845.84x = 69,409,489.28
  5. Step 5: Solve for x
    x = 69,409,489.28/10,845.84
  6. Step 6: Final answer
    x = 6,399.64

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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.