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Finding the Fourth Proportional to 10,075.87, 13,906.50 and 7,536.37

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Solution

The fourth proportional to 10,075.87, 13,906.50 and 7,536.37 is: 10,401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.87 : 13,906.50 = 7,536.37 : x
  2. Step 2: Convert to fraction form
    10,075.87/13,906.50 = 7,536.37/x
  3. Step 3: Cross multiply
    10,075.87x = 13,906.50 × 7,536.37
  4. Step 4: Simplify right side
    10,075.87x = 104,804,529.41
  5. Step 5: Solve for x
    x = 104,804,529.41/10,075.87
  6. Step 6: Final answer
    x = 10,401.54

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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.