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Finding the Fourth Proportional to 8,429.21, 11,632.19 and 4,652.44

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Solution

The fourth proportional to 8,429.21, 11,632.19 and 4,652.44 is: 6,420.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.21 : 11,632.19 = 4,652.44 : x
  2. Step 2: Convert to fraction form
    8,429.21/11,632.19 = 4,652.44/x
  3. Step 3: Cross multiply
    8,429.21x = 11,632.19 × 4,652.44
  4. Step 4: Simplify right side
    8,429.21x = 54,118,069.32
  5. Step 5: Solve for x
    x = 54,118,069.32/8,429.21
  6. Step 6: Final answer
    x = 6,420.30

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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.