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Finding the Fourth Proportional to 7,174.80, 10,765.77 and 4,804.47

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Solution

The fourth proportional to 7,174.80, 10,765.77 and 4,804.47 is: 7,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.80 : 10,765.77 = 4,804.47 : x
  2. Step 2: Convert to fraction form
    7,174.80/10,765.77 = 4,804.47/x
  3. Step 3: Cross multiply
    7,174.80x = 10,765.77 × 4,804.47
  4. Step 4: Simplify right side
    7,174.80x = 51,723,818.99
  5. Step 5: Solve for x
    x = 51,723,818.99/7,174.80
  6. Step 6: Final answer
    x = 7,209.10

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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.