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Finding the Fourth Proportional to 11,749.60, 17,640.81 and 7,813.00

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Solution

The fourth proportional to 11,749.60, 17,640.81 and 7,813.00 is: 11,730.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.60 : 17,640.81 = 7,813.00 : x
  2. Step 2: Convert to fraction form
    11,749.60/17,640.81 = 7,813.00/x
  3. Step 3: Cross multiply
    11,749.60x = 17,640.81 × 7,813.00
  4. Step 4: Simplify right side
    11,749.60x = 137,827,670.58
  5. Step 5: Solve for x
    x = 137,827,670.58/11,749.60
  6. Step 6: Final answer
    x = 11,730.41

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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.