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Finding the Fourth Proportional to 7,026.06, 10,538.22 and 1,832.34

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Solution

The fourth proportional to 7,026.06, 10,538.22 and 1,832.34 is: 2,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.06 : 10,538.22 = 1,832.34 : x
  2. Step 2: Convert to fraction form
    7,026.06/10,538.22 = 1,832.34/x
  3. Step 3: Cross multiply
    7,026.06x = 10,538.22 × 1,832.34
  4. Step 4: Simplify right side
    7,026.06x = 19,309,602.03
  5. Step 5: Solve for x
    x = 19,309,602.03/7,026.06
  6. Step 6: Final answer
    x = 2,748.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.