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Finding the Fourth Proportional to 7,235.90, 10,857.23 and 2,559.46

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Solution

The fourth proportional to 7,235.90, 10,857.23 and 2,559.46 is: 3,840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.90 : 10,857.23 = 2,559.46 : x
  2. Step 2: Convert to fraction form
    7,235.90/10,857.23 = 2,559.46/x
  3. Step 3: Cross multiply
    7,235.90x = 10,857.23 × 2,559.46
  4. Step 4: Simplify right side
    7,235.90x = 27,788,645.90
  5. Step 5: Solve for x
    x = 27,788,645.90/7,235.90
  6. Step 6: Final answer
    x = 3,840.39

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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.