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Finding the Fourth Proportional to 10,452.54, 14,436.38 and 7,089.50

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Solution

The fourth proportional to 10,452.54, 14,436.38 and 7,089.50 is: 9,791.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.54 : 14,436.38 = 7,089.50 : x
  2. Step 2: Convert to fraction form
    10,452.54/14,436.38 = 7,089.50/x
  3. Step 3: Cross multiply
    10,452.54x = 14,436.38 × 7,089.50
  4. Step 4: Simplify right side
    10,452.54x = 102,346,716.01
  5. Step 5: Solve for x
    x = 102,346,716.01/10,452.54
  6. Step 6: Final answer
    x = 9,791.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.