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Finding the Fourth Proportional to 7,187.60, 10,782.84 and 3,293.12

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Solution

The fourth proportional to 7,187.60, 10,782.84 and 3,293.12 is: 4,940.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.60 : 10,782.84 = 3,293.12 : x
  2. Step 2: Convert to fraction form
    7,187.60/10,782.84 = 3,293.12/x
  3. Step 3: Cross multiply
    7,187.60x = 10,782.84 × 3,293.12
  4. Step 4: Simplify right side
    7,187.60x = 35,509,186.06
  5. Step 5: Solve for x
    x = 35,509,186.06/7,187.60
  6. Step 6: Final answer
    x = 4,940.34

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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.