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Finding the Fourth Proportional to 7,075.76, 10,617.68 and 3,180.16

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Solution

The fourth proportional to 7,075.76, 10,617.68 and 3,180.16 is: 4,772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.76 : 10,617.68 = 3,180.16 : x
  2. Step 2: Convert to fraction form
    7,075.76/10,617.68 = 3,180.16/x
  3. Step 3: Cross multiply
    7,075.76x = 10,617.68 × 3,180.16
  4. Step 4: Simplify right side
    7,075.76x = 33,765,921.23
  5. Step 5: Solve for x
    x = 33,765,921.23/7,075.76
  6. Step 6: Final answer
    x = 4,772.06

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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.