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Finding the Fourth Proportional to 7,196.90, 10,798.33 and 3,446.78

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Solution

The fourth proportional to 7,196.90, 10,798.33 and 3,446.78 is: 5,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.90 : 10,798.33 = 3,446.78 : x
  2. Step 2: Convert to fraction form
    7,196.90/10,798.33 = 3,446.78/x
  3. Step 3: Cross multiply
    7,196.90x = 10,798.33 × 3,446.78
  4. Step 4: Simplify right side
    7,196.90x = 37,219,486.26
  5. Step 5: Solve for x
    x = 37,219,486.26/7,196.90
  6. Step 6: Final answer
    x = 5,171.60

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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.