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Finding the Fourth Proportional to 10,891.67, 15,030.77 and 6,176.25

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Solution

The fourth proportional to 10,891.67, 15,030.77 and 6,176.25 is: 8,523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.67 : 15,030.77 = 6,176.25 : x
  2. Step 2: Convert to fraction form
    10,891.67/15,030.77 = 6,176.25/x
  3. Step 3: Cross multiply
    10,891.67x = 15,030.77 × 6,176.25
  4. Step 4: Simplify right side
    10,891.67x = 92,833,762.33
  5. Step 5: Solve for x
    x = 92,833,762.33/10,891.67
  6. Step 6: Final answer
    x = 8,523.38

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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.