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Finding the Fourth Proportional to 7,196.39, 10,774.65 and 3,678.83

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Solution

The fourth proportional to 7,196.39, 10,774.65 and 3,678.83 is: 5,508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.39 : 10,774.65 = 3,678.83 : x
  2. Step 2: Convert to fraction form
    7,196.39/10,774.65 = 3,678.83/x
  3. Step 3: Cross multiply
    7,196.39x = 10,774.65 × 3,678.83
  4. Step 4: Simplify right side
    7,196.39x = 39,638,051.79
  5. Step 5: Solve for x
    x = 39,638,051.79/7,196.39
  6. Step 6: Final answer
    x = 5,508.05

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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.