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Finding the Fourth Proportional to 11,820.58, 16,311.20 and 6,783.59

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Solution

The fourth proportional to 11,820.58, 16,311.20 and 6,783.59 is: 9,360.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.58 : 16,311.20 = 6,783.59 : x
  2. Step 2: Convert to fraction form
    11,820.58/16,311.20 = 6,783.59/x
  3. Step 3: Cross multiply
    11,820.58x = 16,311.20 × 6,783.59
  4. Step 4: Simplify right side
    11,820.58x = 110,648,500.07
  5. Step 5: Solve for x
    x = 110,648,500.07/11,820.58
  6. Step 6: Final answer
    x = 9,360.67

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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.