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Finding the Fourth Proportional to 7,778.64, 10,735.77 and 4,591.98

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Solution

The fourth proportional to 7,778.64, 10,735.77 and 4,591.98 is: 6,337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.64 : 10,735.77 = 4,591.98 : x
  2. Step 2: Convert to fraction form
    7,778.64/10,735.77 = 4,591.98/x
  3. Step 3: Cross multiply
    7,778.64x = 10,735.77 × 4,591.98
  4. Step 4: Simplify right side
    7,778.64x = 49,298,441.12
  5. Step 5: Solve for x
    x = 49,298,441.12/7,778.64
  6. Step 6: Final answer
    x = 6,337.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.