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Finding the Fourth Proportional to 10,205.43, 14,084.93 and 5,729.52

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Solution

The fourth proportional to 10,205.43, 14,084.93 and 5,729.52 is: 7,907.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.43 : 14,084.93 = 5,729.52 : x
  2. Step 2: Convert to fraction form
    10,205.43/14,084.93 = 5,729.52/x
  3. Step 3: Cross multiply
    10,205.43x = 14,084.93 × 5,729.52
  4. Step 4: Simplify right side
    10,205.43x = 80,699,888.13
  5. Step 5: Solve for x
    x = 80,699,888.13/10,205.43
  6. Step 6: Final answer
    x = 7,907.54

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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.