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Finding the Fourth Proportional to 10,420.22, 15,630.40 and 4,264.22

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Solution

The fourth proportional to 10,420.22, 15,630.40 and 4,264.22 is: 6,396.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.22 : 15,630.40 = 4,264.22 : x
  2. Step 2: Convert to fraction form
    10,420.22/15,630.40 = 4,264.22/x
  3. Step 3: Cross multiply
    10,420.22x = 15,630.40 × 4,264.22
  4. Step 4: Simplify right side
    10,420.22x = 66,651,464.29
  5. Step 5: Solve for x
    x = 66,651,464.29/10,420.22
  6. Step 6: Final answer
    x = 6,396.36

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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.