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Finding the Fourth Proportional to 7,043.85, 10,573.47 and 5,189.22

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Solution

The fourth proportional to 7,043.85, 10,573.47 and 5,189.22 is: 7,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,043.85 : 10,573.47 = 5,189.22 : x
  2. Step 2: Convert to fraction form
    7,043.85/10,573.47 = 5,189.22/x
  3. Step 3: Cross multiply
    7,043.85x = 10,573.47 × 5,189.22
  4. Step 4: Simplify right side
    7,043.85x = 54,868,061.99
  5. Step 5: Solve for x
    x = 54,868,061.99/7,043.85
  6. Step 6: Final answer
    x = 7,789.50

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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.