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Finding the Fourth Proportional to 7,821.15, 11,702.57 and 7,733.67

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Solution

The fourth proportional to 7,821.15, 11,702.57 and 7,733.67 is: 11,571.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.15 : 11,702.57 = 7,733.67 : x
  2. Step 2: Convert to fraction form
    7,821.15/11,702.57 = 7,733.67/x
  3. Step 3: Cross multiply
    7,821.15x = 11,702.57 × 7,733.67
  4. Step 4: Simplify right side
    7,821.15x = 90,503,775.86
  5. Step 5: Solve for x
    x = 90,503,775.86/7,821.15
  6. Step 6: Final answer
    x = 11,571.67

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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.