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Finding the Fourth Proportional to 11,849.60, 16,353.42 and 6,815.45

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Solution

The fourth proportional to 11,849.60, 16,353.42 and 6,815.45 is: 9,405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.60 : 16,353.42 = 6,815.45 : x
  2. Step 2: Convert to fraction form
    11,849.60/16,353.42 = 6,815.45/x
  3. Step 3: Cross multiply
    11,849.60x = 16,353.42 × 6,815.45
  4. Step 4: Simplify right side
    11,849.60x = 111,455,882.26
  5. Step 5: Solve for x
    x = 111,455,882.26/11,849.60
  6. Step 6: Final answer
    x = 9,405.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.