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Finding the Fourth Proportional to 10,923.86, 15,074.93 and 6,208.02

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Solution

The fourth proportional to 10,923.86, 15,074.93 and 6,208.02 is: 8,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.86 : 15,074.93 = 6,208.02 : x
  2. Step 2: Convert to fraction form
    10,923.86/15,074.93 = 6,208.02/x
  3. Step 3: Cross multiply
    10,923.86x = 15,074.93 × 6,208.02
  4. Step 4: Simplify right side
    10,923.86x = 93,585,466.94
  5. Step 5: Solve for x
    x = 93,585,466.94/10,923.86
  6. Step 6: Final answer
    x = 8,567.07

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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.