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Finding the Fourth Proportional to 6,772.16, 10,129.07 and 6,026.96

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Solution

The fourth proportional to 6,772.16, 10,129.07 and 6,026.96 is: 9,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.16 : 10,129.07 = 6,026.96 : x
  2. Step 2: Convert to fraction form
    6,772.16/10,129.07 = 6,026.96/x
  3. Step 3: Cross multiply
    6,772.16x = 10,129.07 × 6,026.96
  4. Step 4: Simplify right side
    6,772.16x = 61,047,464.15
  5. Step 5: Solve for x
    x = 61,047,464.15/6,772.16
  6. Step 6: Final answer
    x = 9,014.48

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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.