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Finding the Fourth Proportional to 10,915.94, 15,070.38 and 7,384.34

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Solution

The fourth proportional to 10,915.94, 15,070.38 and 7,384.34 is: 10,194.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.94 : 15,070.38 = 7,384.34 : x
  2. Step 2: Convert to fraction form
    10,915.94/15,070.38 = 7,384.34/x
  3. Step 3: Cross multiply
    10,915.94x = 15,070.38 × 7,384.34
  4. Step 4: Simplify right side
    10,915.94x = 111,284,809.85
  5. Step 5: Solve for x
    x = 111,284,809.85/10,915.94
  6. Step 6: Final answer
    x = 10,194.71

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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.