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Finding the Fourth Proportional to 7,443.50, 11,167.98 and 5,365.85

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Solution

The fourth proportional to 7,443.50, 11,167.98 and 5,365.85 is: 8,050.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.50 : 11,167.98 = 5,365.85 : x
  2. Step 2: Convert to fraction form
    7,443.50/11,167.98 = 5,365.85/x
  3. Step 3: Cross multiply
    7,443.50x = 11,167.98 × 5,365.85
  4. Step 4: Simplify right side
    7,443.50x = 59,925,733.40
  5. Step 5: Solve for x
    x = 59,925,733.40/7,443.50
  6. Step 6: Final answer
    x = 8,050.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.