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Finding the Fourth Proportional to 10,975.69, 15,153.38 and 7,617.43

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Solution

The fourth proportional to 10,975.69, 15,153.38 and 7,617.43 is: 10,516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.69 : 15,153.38 = 7,617.43 : x
  2. Step 2: Convert to fraction form
    10,975.69/15,153.38 = 7,617.43/x
  3. Step 3: Cross multiply
    10,975.69x = 15,153.38 × 7,617.43
  4. Step 4: Simplify right side
    10,975.69x = 115,429,811.41
  5. Step 5: Solve for x
    x = 115,429,811.41/10,975.69
  6. Step 6: Final answer
    x = 10,516.86

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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.