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Finding the Fourth Proportional to 6,715.94, 10,075.80 and 2,333.84

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Solution

The fourth proportional to 6,715.94, 10,075.80 and 2,333.84 is: 3,501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.94 : 10,075.80 = 2,333.84 : x
  2. Step 2: Convert to fraction form
    6,715.94/10,075.80 = 2,333.84/x
  3. Step 3: Cross multiply
    6,715.94x = 10,075.80 × 2,333.84
  4. Step 4: Simplify right side
    6,715.94x = 23,515,305.07
  5. Step 5: Solve for x
    x = 23,515,305.07/6,715.94
  6. Step 6: Final answer
    x = 3,501.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.