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Finding the Fourth Proportional to 7,567.38, 11,348.19 and 3,460.50

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Solution

The fourth proportional to 7,567.38, 11,348.19 and 3,460.50 is: 5,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.38 : 11,348.19 = 3,460.50 : x
  2. Step 2: Convert to fraction form
    7,567.38/11,348.19 = 3,460.50/x
  3. Step 3: Cross multiply
    7,567.38x = 11,348.19 × 3,460.50
  4. Step 4: Simplify right side
    7,567.38x = 39,270,411.50
  5. Step 5: Solve for x
    x = 39,270,411.50/7,567.38
  6. Step 6: Final answer
    x = 5,189.43

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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.