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Finding the Fourth Proportional to 10,796.37, 14,899.20 and 6,546.39

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Solution

The fourth proportional to 10,796.37, 14,899.20 and 6,546.39 is: 9,034.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.37 : 14,899.20 = 6,546.39 : x
  2. Step 2: Convert to fraction form
    10,796.37/14,899.20 = 6,546.39/x
  3. Step 3: Cross multiply
    10,796.37x = 14,899.20 × 6,546.39
  4. Step 4: Simplify right side
    10,796.37x = 97,535,973.89
  5. Step 5: Solve for x
    x = 97,535,973.89/10,796.37
  6. Step 6: Final answer
    x = 9,034.15

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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.