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Finding the Fourth Proportional to 10,788.36, 14,889.90 and 6,311.88

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Solution

The fourth proportional to 10,788.36, 14,889.90 and 6,311.88 is: 8,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,788.36 : 14,889.90 = 6,311.88 : x
  2. Step 2: Convert to fraction form
    10,788.36/14,889.90 = 6,311.88/x
  3. Step 3: Cross multiply
    10,788.36x = 14,889.90 × 6,311.88
  4. Step 4: Simplify right side
    10,788.36x = 93,983,262.01
  5. Step 5: Solve for x
    x = 93,983,262.01/10,788.36
  6. Step 6: Final answer
    x = 8,711.54

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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.