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Finding the Fourth Proportional to 8,665.13, 11,956.97 and 6,397.67

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Solution

The fourth proportional to 8,665.13, 11,956.97 and 6,397.67 is: 8,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.13 : 11,956.97 = 6,397.67 : x
  2. Step 2: Convert to fraction form
    8,665.13/11,956.97 = 6,397.67/x
  3. Step 3: Cross multiply
    8,665.13x = 11,956.97 × 6,397.67
  4. Step 4: Simplify right side
    8,665.13x = 76,496,746.16
  5. Step 5: Solve for x
    x = 76,496,746.16/8,665.13
  6. Step 6: Final answer
    x = 8,828.12

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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.