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Finding the Fourth Proportional to 6,713.56, 10,075.20 and 2,820.52

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Solution

The fourth proportional to 6,713.56, 10,075.20 and 2,820.52 is: 4,232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.56 : 10,075.20 = 2,820.52 : x
  2. Step 2: Convert to fraction form
    6,713.56/10,075.20 = 2,820.52/x
  3. Step 3: Cross multiply
    6,713.56x = 10,075.20 × 2,820.52
  4. Step 4: Simplify right side
    6,713.56x = 28,417,303.10
  5. Step 5: Solve for x
    x = 28,417,303.10/6,713.56
  6. Step 6: Final answer
    x = 4,232.82

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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.