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Finding the Fourth Proportional to 7,284.67, 10,926.09 and 2,905.20

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Solution

The fourth proportional to 7,284.67, 10,926.09 and 2,905.20 is: 4,357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.67 : 10,926.09 = 2,905.20 : x
  2. Step 2: Convert to fraction form
    7,284.67/10,926.09 = 2,905.20/x
  3. Step 3: Cross multiply
    7,284.67x = 10,926.09 × 2,905.20
  4. Step 4: Simplify right side
    7,284.67x = 31,742,476.67
  5. Step 5: Solve for x
    x = 31,742,476.67/7,284.67
  6. Step 6: Final answer
    x = 4,357.44

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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.