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Finding the Fourth Proportional to 11,461, 15,821.94 and 10,769.80

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Solution

The fourth proportional to 11,461, 15,821.94 and 10,769.80 is: 14,867.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461 : 15,821.94 = 10,769.80 : x
  2. Step 2: Convert to fraction form
    11,461/15,821.94 = 10,769.80/x
  3. Step 3: Cross multiply
    11,461x = 15,821.94 × 10,769.80
  4. Step 4: Simplify right side
    11,461x = 170,399,129.41
  5. Step 5: Solve for x
    x = 170,399,129.41/11,461
  6. Step 6: Final answer
    x = 14,867.74

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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.