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Finding the Fourth Proportional to 7,790.34, 11,678.88 and 3,404.52

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Solution

The fourth proportional to 7,790.34, 11,678.88 and 3,404.52 is: 5,103.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.34 : 11,678.88 = 3,404.52 : x
  2. Step 2: Convert to fraction form
    7,790.34/11,678.88 = 3,404.52/x
  3. Step 3: Cross multiply
    7,790.34x = 11,678.88 × 3,404.52
  4. Step 4: Simplify right side
    7,790.34x = 39,760,980.54
  5. Step 5: Solve for x
    x = 39,760,980.54/7,790.34
  6. Step 6: Final answer
    x = 5,103.88

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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.