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Finding the Fourth Proportional to 10,778.55, 16,072.64 and 9,467.67

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Solution

The fourth proportional to 10,778.55, 16,072.64 and 9,467.67 is: 14,117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.55 : 16,072.64 = 9,467.67 : x
  2. Step 2: Convert to fraction form
    10,778.55/16,072.64 = 9,467.67/x
  3. Step 3: Cross multiply
    10,778.55x = 16,072.64 × 9,467.67
  4. Step 4: Simplify right side
    10,778.55x = 152,170,404.21
  5. Step 5: Solve for x
    x = 152,170,404.21/10,778.55
  6. Step 6: Final answer
    x = 14,117.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.