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Finding the Fourth Proportional to 7,622.66, 11,434.80 and 2,075.78

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Solution

The fourth proportional to 7,622.66, 11,434.80 and 2,075.78 is: 3,113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,622.66 : 11,434.80 = 2,075.78 : x
  2. Step 2: Convert to fraction form
    7,622.66/11,434.80 = 2,075.78/x
  3. Step 3: Cross multiply
    7,622.66x = 11,434.80 × 2,075.78
  4. Step 4: Simplify right side
    7,622.66x = 23,736,129.14
  5. Step 5: Solve for x
    x = 23,736,129.14/7,622.66
  6. Step 6: Final answer
    x = 3,113.89

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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.