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Finding the Fourth Proportional to 7,434.75, 11,148.86 and 5,346.03

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Solution

The fourth proportional to 7,434.75, 11,148.86 and 5,346.03 is: 8,016.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434.75 : 11,148.86 = 5,346.03 : x
  2. Step 2: Convert to fraction form
    7,434.75/11,148.86 = 5,346.03/x
  3. Step 3: Cross multiply
    7,434.75x = 11,148.86 × 5,346.03
  4. Step 4: Simplify right side
    7,434.75x = 59,602,149.87
  5. Step 5: Solve for x
    x = 59,602,149.87/7,434.75
  6. Step 6: Final answer
    x = 8,016.69

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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.