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Finding the Fourth Proportional to 7,629.12, 11,420.64 and 6,899.04

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Solution

The fourth proportional to 7,629.12, 11,420.64 and 6,899.04 is: 10,327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629.12 : 11,420.64 = 6,899.04 : x
  2. Step 2: Convert to fraction form
    7,629.12/11,420.64 = 6,899.04/x
  3. Step 3: Cross multiply
    7,629.12x = 11,420.64 × 6,899.04
  4. Step 4: Simplify right side
    7,629.12x = 78,791,452.19
  5. Step 5: Solve for x
    x = 78,791,452.19/7,629.12
  6. Step 6: Final answer
    x = 10,327.72

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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.