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Finding the Fourth Proportional to 8,556.40, 12,820.20 and 5,633.20

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Solution

The fourth proportional to 8,556.40, 12,820.20 and 5,633.20 is: 8,440.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,556.40 : 12,820.20 = 5,633.20 : x
  2. Step 2: Convert to fraction form
    8,556.40/12,820.20 = 5,633.20/x
  3. Step 3: Cross multiply
    8,556.40x = 12,820.20 × 5,633.20
  4. Step 4: Simplify right side
    8,556.40x = 72,218,750.64
  5. Step 5: Solve for x
    x = 72,218,750.64/8,556.40
  6. Step 6: Final answer
    x = 8,440.32

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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.