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Finding the Fourth Proportional to 7,675.31, 11,528.33 and 7,423.09

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Solution

The fourth proportional to 7,675.31, 11,528.33 and 7,423.09 is: 11,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.31 : 11,528.33 = 7,423.09 : x
  2. Step 2: Convert to fraction form
    7,675.31/11,528.33 = 7,423.09/x
  3. Step 3: Cross multiply
    7,675.31x = 11,528.33 × 7,423.09
  4. Step 4: Simplify right side
    7,675.31x = 85,575,830.05
  5. Step 5: Solve for x
    x = 85,575,830.05/7,675.31
  6. Step 6: Final answer
    x = 11,149.50

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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.