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Finding the Fourth Proportional to 10,924.79, 15,076.15 and 6,209.07

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Solution

The fourth proportional to 10,924.79, 15,076.15 and 6,209.07 is: 8,568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,924.79 : 15,076.15 = 6,209.07 : x
  2. Step 2: Convert to fraction form
    10,924.79/15,076.15 = 6,209.07/x
  3. Step 3: Cross multiply
    10,924.79x = 15,076.15 × 6,209.07
  4. Step 4: Simplify right side
    10,924.79x = 93,608,821.91
  5. Step 5: Solve for x
    x = 93,608,821.91/10,924.79
  6. Step 6: Final answer
    x = 8,568.48

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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.