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Finding the Fourth Proportional to 7,562.06, 10,435.77 and 4,159.22

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Solution

The fourth proportional to 7,562.06, 10,435.77 and 4,159.22 is: 5,739.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.06 : 10,435.77 = 4,159.22 : x
  2. Step 2: Convert to fraction form
    7,562.06/10,435.77 = 4,159.22/x
  3. Step 3: Cross multiply
    7,562.06x = 10,435.77 × 4,159.22
  4. Step 4: Simplify right side
    7,562.06x = 43,404,611.12
  5. Step 5: Solve for x
    x = 43,404,611.12/7,562.06
  6. Step 6: Final answer
    x = 5,739.79

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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.