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Finding the Fourth Proportional to 11,683.85, 17,533.97 and 5,111.91

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Solution

The fourth proportional to 11,683.85, 17,533.97 and 5,111.91 is: 7,671.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.85 : 17,533.97 = 5,111.91 : x
  2. Step 2: Convert to fraction form
    11,683.85/17,533.97 = 5,111.91/x
  3. Step 3: Cross multiply
    11,683.85x = 17,533.97 × 5,111.91
  4. Step 4: Simplify right side
    11,683.85x = 89,632,070.19
  5. Step 5: Solve for x
    x = 89,632,070.19/11,683.85
  6. Step 6: Final answer
    x = 7,671.45

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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.