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Finding the Fourth Proportional to 10,540.63, 14,546.27 and 5,824.81

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Solution

The fourth proportional to 10,540.63, 14,546.27 and 5,824.81 is: 8,038.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.63 : 14,546.27 = 5,824.81 : x
  2. Step 2: Convert to fraction form
    10,540.63/14,546.27 = 5,824.81/x
  3. Step 3: Cross multiply
    10,540.63x = 14,546.27 × 5,824.81
  4. Step 4: Simplify right side
    10,540.63x = 84,729,157.10
  5. Step 5: Solve for x
    x = 84,729,157.10/10,540.63
  6. Step 6: Final answer
    x = 8,038.34

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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.