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Finding the Fourth Proportional to 7,800.34, 11,693.88 and 3,414.52

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Solution

The fourth proportional to 7,800.34, 11,693.88 and 3,414.52 is: 5,118.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.34 : 11,693.88 = 3,414.52 : x
  2. Step 2: Convert to fraction form
    7,800.34/11,693.88 = 3,414.52/x
  3. Step 3: Cross multiply
    7,800.34x = 11,693.88 × 3,414.52
  4. Step 4: Simplify right side
    7,800.34x = 39,928,987.14
  5. Step 5: Solve for x
    x = 39,928,987.14/7,800.34
  6. Step 6: Final answer
    x = 5,118.88

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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.