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Finding the Fourth Proportional to 10,481.10, 14,470.83 and 6,508.14

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Solution

The fourth proportional to 10,481.10, 14,470.83 and 6,508.14 is: 8,985.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.10 : 14,470.83 = 6,508.14 : x
  2. Step 2: Convert to fraction form
    10,481.10/14,470.83 = 6,508.14/x
  3. Step 3: Cross multiply
    10,481.10x = 14,470.83 × 6,508.14
  4. Step 4: Simplify right side
    10,481.10x = 94,178,187.56
  5. Step 5: Solve for x
    x = 94,178,187.56/10,481.10
  6. Step 6: Final answer
    x = 8,985.53

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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.