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Finding the Fourth Proportional to 7,548.30, 11,318.79 and 3,164.58

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Solution

The fourth proportional to 7,548.30, 11,318.79 and 3,164.58 is: 4,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.30 : 11,318.79 = 3,164.58 : x
  2. Step 2: Convert to fraction form
    7,548.30/11,318.79 = 3,164.58/x
  3. Step 3: Cross multiply
    7,548.30x = 11,318.79 × 3,164.58
  4. Step 4: Simplify right side
    7,548.30x = 35,819,216.46
  5. Step 5: Solve for x
    x = 35,819,216.46/7,548.30
  6. Step 6: Final answer
    x = 4,745.34

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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.