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Finding the Fourth Proportional to 11,772.64, 16,241.60 and 7,583.32

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Solution

The fourth proportional to 11,772.64, 16,241.60 and 7,583.32 is: 10,461.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.64 : 16,241.60 = 7,583.32 : x
  2. Step 2: Convert to fraction form
    11,772.64/16,241.60 = 7,583.32/x
  3. Step 3: Cross multiply
    11,772.64x = 16,241.60 × 7,583.32
  4. Step 4: Simplify right side
    11,772.64x = 123,165,250.11
  5. Step 5: Solve for x
    x = 123,165,250.11/11,772.64
  6. Step 6: Final answer
    x = 10,461.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.