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Finding the Fourth Proportional to 6,716.64, 10,075.20 and 4,422.72

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Solution

The fourth proportional to 6,716.64, 10,075.20 and 4,422.72 is: 6,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.64 : 10,075.20 = 4,422.72 : x
  2. Step 2: Convert to fraction form
    6,716.64/10,075.20 = 4,422.72/x
  3. Step 3: Cross multiply
    6,716.64x = 10,075.20 × 4,422.72
  4. Step 4: Simplify right side
    6,716.64x = 44,559,788.54
  5. Step 5: Solve for x
    x = 44,559,788.54/6,716.64
  6. Step 6: Final answer
    x = 6,634.24

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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.