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Finding the Fourth Proportional to 11,987.91, 16,543.64 and 6,683.76

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Solution

The fourth proportional to 11,987.91, 16,543.64 and 6,683.76 is: 9,223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,987.91 : 16,543.64 = 6,683.76 : x
  2. Step 2: Convert to fraction form
    11,987.91/16,543.64 = 6,683.76/x
  3. Step 3: Cross multiply
    11,987.91x = 16,543.64 × 6,683.76
  4. Step 4: Simplify right side
    11,987.91x = 110,573,736.00
  5. Step 5: Solve for x
    x = 110,573,736.00/11,987.91
  6. Step 6: Final answer
    x = 9,223.77

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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.