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Finding the Fourth Proportional to 7,282, 10,926.96 and 2,899.45

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Solution

The fourth proportional to 7,282, 10,926.96 and 2,899.45 is: 4,350.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282 : 10,926.96 = 2,899.45 : x
  2. Step 2: Convert to fraction form
    7,282/10,926.96 = 2,899.45/x
  3. Step 3: Cross multiply
    7,282x = 10,926.96 × 2,899.45
  4. Step 4: Simplify right side
    7,282x = 31,682,174.17
  5. Step 5: Solve for x
    x = 31,682,174.17/7,282
  6. Step 6: Final answer
    x = 4,350.75

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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.