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Finding the Fourth Proportional to 10,910.16, 15,055.88 and 6,194.75

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Solution

The fourth proportional to 10,910.16, 15,055.88 and 6,194.75 is: 8,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,910.16 : 15,055.88 = 6,194.75 : x
  2. Step 2: Convert to fraction form
    10,910.16/15,055.88 = 6,194.75/x
  3. Step 3: Cross multiply
    10,910.16x = 15,055.88 × 6,194.75
  4. Step 4: Simplify right side
    10,910.16x = 93,267,306.38
  5. Step 5: Solve for x
    x = 93,267,306.38/10,910.16
  6. Step 6: Final answer
    x = 8,548.67

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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.