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Finding the Fourth Proportional to 7,185.68, 10,767.16 and 5,228.88

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Solution

The fourth proportional to 7,185.68, 10,767.16 and 5,228.88 is: 7,835.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.68 : 10,767.16 = 5,228.88 : x
  2. Step 2: Convert to fraction form
    7,185.68/10,767.16 = 5,228.88/x
  3. Step 3: Cross multiply
    7,185.68x = 10,767.16 × 5,228.88
  4. Step 4: Simplify right side
    7,185.68x = 56,300,187.58
  5. Step 5: Solve for x
    x = 56,300,187.58/7,185.68
  6. Step 6: Final answer
    x = 7,835.05

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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.