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Finding the Fourth Proportional to 10,352.42, 14,290.63 and 7,835.23

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Solution

The fourth proportional to 10,352.42, 14,290.63 and 7,835.23 is: 10,815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.42 : 14,290.63 = 7,835.23 : x
  2. Step 2: Convert to fraction form
    10,352.42/14,290.63 = 7,835.23/x
  3. Step 3: Cross multiply
    10,352.42x = 14,290.63 × 7,835.23
  4. Step 4: Simplify right side
    10,352.42x = 111,970,418.42
  5. Step 5: Solve for x
    x = 111,970,418.42/10,352.42
  6. Step 6: Final answer
    x = 10,815.87

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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.