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Finding the Fourth Proportional to 7,075.38, 9,764.28 and 4,092.15

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Solution

The fourth proportional to 7,075.38, 9,764.28 and 4,092.15 is: 5,647.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.38 : 9,764.28 = 4,092.15 : x
  2. Step 2: Convert to fraction form
    7,075.38/9,764.28 = 4,092.15/x
  3. Step 3: Cross multiply
    7,075.38x = 9,764.28 × 4,092.15
  4. Step 4: Simplify right side
    7,075.38x = 39,956,898.40
  5. Step 5: Solve for x
    x = 39,956,898.40/7,075.38
  6. Step 6: Final answer
    x = 5,647.31

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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.