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Finding the Fourth Proportional to 10,923.75, 15,074.82 and 6,208.02

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Solution

The fourth proportional to 10,923.75, 15,074.82 and 6,208.02 is: 8,567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.75 : 15,074.82 = 6,208.02 : x
  2. Step 2: Convert to fraction form
    10,923.75/15,074.82 = 6,208.02/x
  3. Step 3: Cross multiply
    10,923.75x = 15,074.82 × 6,208.02
  4. Step 4: Simplify right side
    10,923.75x = 93,584,784.06
  5. Step 5: Solve for x
    x = 93,584,784.06/10,923.75
  6. Step 6: Final answer
    x = 8,567.09

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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.