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Finding the Fourth Proportional to 10,788.69, 16,184.88 and 4,945.80

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Solution

The fourth proportional to 10,788.69, 16,184.88 and 4,945.80 is: 7,419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,788.69 : 16,184.88 = 4,945.80 : x
  2. Step 2: Convert to fraction form
    10,788.69/16,184.88 = 4,945.80/x
  3. Step 3: Cross multiply
    10,788.69x = 16,184.88 × 4,945.80
  4. Step 4: Simplify right side
    10,788.69x = 80,047,179.50
  5. Step 5: Solve for x
    x = 80,047,179.50/10,788.69
  6. Step 6: Final answer
    x = 7,419.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.