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Finding the Fourth Proportional to 10,977.50, 16,466.26 and 2,769.50

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Solution

The fourth proportional to 10,977.50, 16,466.26 and 2,769.50 is: 4,154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977.50 : 16,466.26 = 2,769.50 : x
  2. Step 2: Convert to fraction form
    10,977.50/16,466.26 = 2,769.50/x
  3. Step 3: Cross multiply
    10,977.50x = 16,466.26 × 2,769.50
  4. Step 4: Simplify right side
    10,977.50x = 45,603,307.07
  5. Step 5: Solve for x
    x = 45,603,307.07/10,977.50
  6. Step 6: Final answer
    x = 4,154.25

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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.