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Finding the Fourth Proportional to 10,420.66, 15,622.90 and 5,152.04

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Solution

The fourth proportional to 10,420.66, 15,622.90 and 5,152.04 is: 7,724.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.66 : 15,622.90 = 5,152.04 : x
  2. Step 2: Convert to fraction form
    10,420.66/15,622.90 = 5,152.04/x
  3. Step 3: Cross multiply
    10,420.66x = 15,622.90 × 5,152.04
  4. Step 4: Simplify right side
    10,420.66x = 80,489,805.72
  5. Step 5: Solve for x
    x = 80,489,805.72/10,420.66
  6. Step 6: Final answer
    x = 7,724.06

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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.