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Finding the Fourth Proportional to 7,098.40, 10,647.55 and 1,832.96

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Solution

The fourth proportional to 7,098.40, 10,647.55 and 1,832.96 is: 2,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.40 : 10,647.55 = 1,832.96 : x
  2. Step 2: Convert to fraction form
    7,098.40/10,647.55 = 1,832.96/x
  3. Step 3: Cross multiply
    7,098.40x = 10,647.55 × 1,832.96
  4. Step 4: Simplify right side
    7,098.40x = 19,516,562.16
  5. Step 5: Solve for x
    x = 19,516,562.16/7,098.40
  6. Step 6: Final answer
    x = 2,749.43

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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.