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Finding the Fourth Proportional to 10,260.69, 14,150.86 and 6,674.31

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Solution

The fourth proportional to 10,260.69, 14,150.86 and 6,674.31 is: 9,204.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,260.69 : 14,150.86 = 6,674.31 : x
  2. Step 2: Convert to fraction form
    10,260.69/14,150.86 = 6,674.31/x
  3. Step 3: Cross multiply
    10,260.69x = 14,150.86 × 6,674.31
  4. Step 4: Simplify right side
    10,260.69x = 94,447,226.41
  5. Step 5: Solve for x
    x = 94,447,226.41/10,260.69
  6. Step 6: Final answer
    x = 9,204.76

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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.