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Finding the Fourth Proportional to 10,276.81, 15,408.02 and 5,266.87

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Solution

The fourth proportional to 10,276.81, 15,408.02 and 5,266.87 is: 7,896.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,276.81 : 15,408.02 = 5,266.87 : x
  2. Step 2: Convert to fraction form
    10,276.81/15,408.02 = 5,266.87/x
  3. Step 3: Cross multiply
    10,276.81x = 15,408.02 × 5,266.87
  4. Step 4: Simplify right side
    10,276.81x = 81,152,012.94
  5. Step 5: Solve for x
    x = 81,152,012.94/10,276.81
  6. Step 6: Final answer
    x = 7,896.62

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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.