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Finding the Fourth Proportional to 11,987.27, 16,543.65 and 7,208.76

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Solution

The fourth proportional to 11,987.27, 16,543.65 and 7,208.76 is: 9,948.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,987.27 : 16,543.65 = 7,208.76 : x
  2. Step 2: Convert to fraction form
    11,987.27/16,543.65 = 7,208.76/x
  3. Step 3: Cross multiply
    11,987.27x = 16,543.65 × 7,208.76
  4. Step 4: Simplify right side
    11,987.27x = 119,259,202.37
  5. Step 5: Solve for x
    x = 119,259,202.37/11,987.27
  6. Step 6: Final answer
    x = 9,948.83

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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.