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Finding the Fourth Proportional to 8,075.80, 11,140.94 and 5,834.13

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Solution

The fourth proportional to 8,075.80, 11,140.94 and 5,834.13 is: 8,048.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.80 : 11,140.94 = 5,834.13 : x
  2. Step 2: Convert to fraction form
    8,075.80/11,140.94 = 5,834.13/x
  3. Step 3: Cross multiply
    8,075.80x = 11,140.94 × 5,834.13
  4. Step 4: Simplify right side
    8,075.80x = 64,997,665.09
  5. Step 5: Solve for x
    x = 64,997,665.09/8,075.80
  6. Step 6: Final answer
    x = 8,048.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.