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Finding the Fourth Proportional to 11,987.70, 16,543.05 and 6,682.41

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Solution

The fourth proportional to 11,987.70, 16,543.05 and 6,682.41 is: 9,221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,987.70 : 16,543.05 = 6,682.41 : x
  2. Step 2: Convert to fraction form
    11,987.70/16,543.05 = 6,682.41/x
  3. Step 3: Cross multiply
    11,987.70x = 16,543.05 × 6,682.41
  4. Step 4: Simplify right side
    11,987.70x = 110,547,442.75
  5. Step 5: Solve for x
    x = 110,547,442.75/11,987.70
  6. Step 6: Final answer
    x = 9,221.74

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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.