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Finding the Fourth Proportional to 10,815.60, 16,213.80 and 6,428.40

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Solution

The fourth proportional to 10,815.60, 16,213.80 and 6,428.40 is: 9,636.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815.60 : 16,213.80 = 6,428.40 : x
  2. Step 2: Convert to fraction form
    10,815.60/16,213.80 = 6,428.40/x
  3. Step 3: Cross multiply
    10,815.60x = 16,213.80 × 6,428.40
  4. Step 4: Simplify right side
    10,815.60x = 104,228,791.92
  5. Step 5: Solve for x
    x = 104,228,791.92/10,815.60
  6. Step 6: Final answer
    x = 9,636.89

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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.