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Finding the Fourth Proportional to 7,504.38, 10,352.88 and 5,267.77

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Solution

The fourth proportional to 7,504.38, 10,352.88 and 5,267.77 is: 7,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504.38 : 10,352.88 = 5,267.77 : x
  2. Step 2: Convert to fraction form
    7,504.38/10,352.88 = 5,267.77/x
  3. Step 3: Cross multiply
    7,504.38x = 10,352.88 × 5,267.77
  4. Step 4: Simplify right side
    7,504.38x = 54,536,564.80
  5. Step 5: Solve for x
    x = 54,536,564.80/7,504.38
  6. Step 6: Final answer
    x = 7,267.30

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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.