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Finding the Fourth Proportional to 10,602.22, 14,629.44 and 6,352.30

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Solution

The fourth proportional to 10,602.22, 14,629.44 and 6,352.30 is: 8,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.22 : 14,629.44 = 6,352.30 : x
  2. Step 2: Convert to fraction form
    10,602.22/14,629.44 = 6,352.30/x
  3. Step 3: Cross multiply
    10,602.22x = 14,629.44 × 6,352.30
  4. Step 4: Simplify right side
    10,602.22x = 92,930,591.71
  5. Step 5: Solve for x
    x = 92,930,591.71/10,602.22
  6. Step 6: Final answer
    x = 8,765.20

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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.