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Finding the Fourth Proportional to 7,686.02, 11,533.50 and 3,243.42

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Solution

The fourth proportional to 7,686.02, 11,533.50 and 3,243.42 is: 4,867.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.02 : 11,533.50 = 3,243.42 : x
  2. Step 2: Convert to fraction form
    7,686.02/11,533.50 = 3,243.42/x
  3. Step 3: Cross multiply
    7,686.02x = 11,533.50 × 3,243.42
  4. Step 4: Simplify right side
    7,686.02x = 37,407,984.57
  5. Step 5: Solve for x
    x = 37,407,984.57/7,686.02
  6. Step 6: Final answer
    x = 4,867.02

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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.