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Finding the Fourth Proportional to 7,075.68, 10,597.34 and 3,380.51

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Solution

The fourth proportional to 7,075.68, 10,597.34 and 3,380.51 is: 5,063.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.68 : 10,597.34 = 3,380.51 : x
  2. Step 2: Convert to fraction form
    7,075.68/10,597.34 = 3,380.51/x
  3. Step 3: Cross multiply
    7,075.68x = 10,597.34 × 3,380.51
  4. Step 4: Simplify right side
    7,075.68x = 35,824,343.95
  5. Step 5: Solve for x
    x = 35,824,343.95/7,075.68
  6. Step 6: Final answer
    x = 5,063.02

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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.