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Finding the Fourth Proportional to 7,539.98, 10,405.05 and 4,182.80

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Solution

The fourth proportional to 7,539.98, 10,405.05 and 4,182.80 is: 5,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539.98 : 10,405.05 = 4,182.80 : x
  2. Step 2: Convert to fraction form
    7,539.98/10,405.05 = 4,182.80/x
  3. Step 3: Cross multiply
    7,539.98x = 10,405.05 × 4,182.80
  4. Step 4: Simplify right side
    7,539.98x = 43,522,243.14
  5. Step 5: Solve for x
    x = 43,522,243.14/7,539.98
  6. Step 6: Final answer
    x = 5,772.20

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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.