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Finding the Fourth Proportional to 8,420.61, 12,633.72 and 5,620.64

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Solution

The fourth proportional to 8,420.61, 12,633.72 and 5,620.64 is: 8,432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.61 : 12,633.72 = 5,620.64 : x
  2. Step 2: Convert to fraction form
    8,420.61/12,633.72 = 5,620.64/x
  3. Step 3: Cross multiply
    8,420.61x = 12,633.72 × 5,620.64
  4. Step 4: Simplify right side
    8,420.61x = 71,009,610.42
  5. Step 5: Solve for x
    x = 71,009,610.42/8,420.61
  6. Step 6: Final answer
    x = 8,432.84

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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.