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Finding the Fourth Proportional to 10,786.62, 14,885.76 and 6,313.62

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Solution

The fourth proportional to 10,786.62, 14,885.76 and 6,313.62 is: 8,712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.62 : 14,885.76 = 6,313.62 : x
  2. Step 2: Convert to fraction form
    10,786.62/14,885.76 = 6,313.62/x
  3. Step 3: Cross multiply
    10,786.62x = 14,885.76 × 6,313.62
  4. Step 4: Simplify right side
    10,786.62x = 93,983,032.05
  5. Step 5: Solve for x
    x = 93,983,032.05/10,786.62
  6. Step 6: Final answer
    x = 8,712.93

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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.