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Finding the Fourth Proportional to 10,276.80, 14,182.06 and 5,561.06

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Solution

The fourth proportional to 10,276.80, 14,182.06 and 5,561.06 is: 7,674.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,276.80 : 14,182.06 = 5,561.06 : x
  2. Step 2: Convert to fraction form
    10,276.80/14,182.06 = 5,561.06/x
  3. Step 3: Cross multiply
    10,276.80x = 14,182.06 × 5,561.06
  4. Step 4: Simplify right side
    10,276.80x = 78,867,286.58
  5. Step 5: Solve for x
    x = 78,867,286.58/10,276.80
  6. Step 6: Final answer
    x = 7,674.30

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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.