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Finding the Fourth Proportional to 6,716.52, 10,075.50 and 3,800.52

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Solution

The fourth proportional to 6,716.52, 10,075.50 and 3,800.52 is: 5,701.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.52 : 10,075.50 = 3,800.52 : x
  2. Step 2: Convert to fraction form
    6,716.52/10,075.50 = 3,800.52/x
  3. Step 3: Cross multiply
    6,716.52x = 10,075.50 × 3,800.52
  4. Step 4: Simplify right side
    6,716.52x = 38,292,139.26
  5. Step 5: Solve for x
    x = 38,292,139.26/6,716.52
  6. Step 6: Final answer
    x = 5,701.19

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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.