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Finding the Fourth Proportional to 8,728.64, 13,088 and 5,958.67

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Solution

The fourth proportional to 8,728.64, 13,088 and 5,958.67 is: 8,934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,728.64 : 13,088 = 5,958.67 : x
  2. Step 2: Convert to fraction form
    8,728.64/13,088 = 5,958.67/x
  3. Step 3: Cross multiply
    8,728.64x = 13,088 × 5,958.67
  4. Step 4: Simplify right side
    8,728.64x = 77,987,072.96
  5. Step 5: Solve for x
    x = 77,987,072.96/8,728.64
  6. Step 6: Final answer
    x = 8,934.62

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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.