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Finding the Fourth Proportional to 7,820.56, 11,732.60 and 2,274.16

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Solution

The fourth proportional to 7,820.56, 11,732.60 and 2,274.16 is: 3,411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.56 : 11,732.60 = 2,274.16 : x
  2. Step 2: Convert to fraction form
    7,820.56/11,732.60 = 2,274.16/x
  3. Step 3: Cross multiply
    7,820.56x = 11,732.60 × 2,274.16
  4. Step 4: Simplify right side
    7,820.56x = 26,681,809.62
  5. Step 5: Solve for x
    x = 26,681,809.62/7,820.56
  6. Step 6: Final answer
    x = 3,411.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.