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Finding the Fourth Proportional to 7,286.64, 10,927.53 and 2,354.96

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Solution

The fourth proportional to 7,286.64, 10,927.53 and 2,354.96 is: 3,531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.64 : 10,927.53 = 2,354.96 : x
  2. Step 2: Convert to fraction form
    7,286.64/10,927.53 = 2,354.96/x
  3. Step 3: Cross multiply
    7,286.64x = 10,927.53 × 2,354.96
  4. Step 4: Simplify right side
    7,286.64x = 25,733,841.41
  5. Step 5: Solve for x
    x = 25,733,841.41/7,286.64
  6. Step 6: Final answer
    x = 3,531.65

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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.