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Finding the Fourth Proportional to 10,038.27, 13,837.32 and 8,266.80

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Solution

The fourth proportional to 10,038.27, 13,837.32 and 8,266.80 is: 11,395.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.27 : 13,837.32 = 8,266.80 : x
  2. Step 2: Convert to fraction form
    10,038.27/13,837.32 = 8,266.80/x
  3. Step 3: Cross multiply
    10,038.27x = 13,837.32 × 8,266.80
  4. Step 4: Simplify right side
    10,038.27x = 114,390,356.98
  5. Step 5: Solve for x
    x = 114,390,356.98/10,038.27
  6. Step 6: Final answer
    x = 11,395.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.