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Finding the Fourth Proportional to 7,757.06, 10,705.29 and 4,400.16

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Solution

The fourth proportional to 7,757.06, 10,705.29 and 4,400.16 is: 6,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.06 : 10,705.29 = 4,400.16 : x
  2. Step 2: Convert to fraction form
    7,757.06/10,705.29 = 4,400.16/x
  3. Step 3: Cross multiply
    7,757.06x = 10,705.29 × 4,400.16
  4. Step 4: Simplify right side
    7,757.06x = 47,104,988.85
  5. Step 5: Solve for x
    x = 47,104,988.85/7,757.06
  6. Step 6: Final answer
    x = 6,072.54

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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.