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Finding the Fourth Proportional to 10,028.64, 13,822.96 and 7,540.32

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Solution

The fourth proportional to 10,028.64, 13,822.96 and 7,540.32 is: 10,393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.64 : 13,822.96 = 7,540.32 : x
  2. Step 2: Convert to fraction form
    10,028.64/13,822.96 = 7,540.32/x
  3. Step 3: Cross multiply
    10,028.64x = 13,822.96 × 7,540.32
  4. Step 4: Simplify right side
    10,028.64x = 104,229,541.75
  5. Step 5: Solve for x
    x = 104,229,541.75/10,028.64
  6. Step 6: Final answer
    x = 10,393.19

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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.