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Finding the Fourth Proportional to 10,540.98, 14,546.10 and 5,825.16

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Solution

The fourth proportional to 10,540.98, 14,546.10 and 5,825.16 is: 8,038.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.98 : 14,546.10 = 5,825.16 : x
  2. Step 2: Convert to fraction form
    10,540.98/14,546.10 = 5,825.16/x
  3. Step 3: Cross multiply
    10,540.98x = 14,546.10 × 5,825.16
  4. Step 4: Simplify right side
    10,540.98x = 84,733,359.88
  5. Step 5: Solve for x
    x = 84,733,359.88/10,540.98
  6. Step 6: Final answer
    x = 8,038.47

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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.