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Finding the Fourth Proportional to 8,348.01, 11,458.85 and 7,382.64

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Solution

The fourth proportional to 8,348.01, 11,458.85 and 7,382.64 is: 10,133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.01 : 11,458.85 = 7,382.64 : x
  2. Step 2: Convert to fraction form
    8,348.01/11,458.85 = 7,382.64/x
  3. Step 3: Cross multiply
    8,348.01x = 11,458.85 × 7,382.64
  4. Step 4: Simplify right side
    8,348.01x = 84,596,527.45
  5. Step 5: Solve for x
    x = 84,596,527.45/8,348.01
  6. Step 6: Final answer
    x = 10,133.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.