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Finding the Fourth Proportional to 7,098.94, 10,643.22 and 3,403.78

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Solution

The fourth proportional to 7,098.94, 10,643.22 and 3,403.78 is: 5,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.94 : 10,643.22 = 3,403.78 : x
  2. Step 2: Convert to fraction form
    7,098.94/10,643.22 = 3,403.78/x
  3. Step 3: Cross multiply
    7,098.94x = 10,643.22 × 3,403.78
  4. Step 4: Simplify right side
    7,098.94x = 36,227,179.37
  5. Step 5: Solve for x
    x = 36,227,179.37/7,098.94
  6. Step 6: Final answer
    x = 5,103.18

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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.