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Finding the Fourth Proportional to 7,538.70, 11,308.04 and 5,164.43

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Solution

The fourth proportional to 7,538.70, 11,308.04 and 5,164.43 is: 7,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.70 : 11,308.04 = 5,164.43 : x
  2. Step 2: Convert to fraction form
    7,538.70/11,308.04 = 5,164.43/x
  3. Step 3: Cross multiply
    7,538.70x = 11,308.04 × 5,164.43
  4. Step 4: Simplify right side
    7,538.70x = 58,399,635.22
  5. Step 5: Solve for x
    x = 58,399,635.22/7,538.70
  6. Step 6: Final answer
    x = 7,746.65

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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.