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Finding the Fourth Proportional to 11,098.83, 16,662.83 and 7,813.47

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Solution

The fourth proportional to 11,098.83, 16,662.83 and 7,813.47 is: 11,730.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.83 : 16,662.83 = 7,813.47 : x
  2. Step 2: Convert to fraction form
    11,098.83/16,662.83 = 7,813.47/x
  3. Step 3: Cross multiply
    11,098.83x = 16,662.83 × 7,813.47
  4. Step 4: Simplify right side
    11,098.83x = 130,194,483.25
  5. Step 5: Solve for x
    x = 130,194,483.25/11,098.83
  6. Step 6: Final answer
    x = 11,730.47

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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.