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Finding the Fourth Proportional to 10,927.56, 16,382.82 and 5,083.40

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Solution

The fourth proportional to 10,927.56, 16,382.82 and 5,083.40 is: 7,621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927.56 : 16,382.82 = 5,083.40 : x
  2. Step 2: Convert to fraction form
    10,927.56/16,382.82 = 5,083.40/x
  3. Step 3: Cross multiply
    10,927.56x = 16,382.82 × 5,083.40
  4. Step 4: Simplify right side
    10,927.56x = 83,280,427.19
  5. Step 5: Solve for x
    x = 83,280,427.19/10,927.56
  6. Step 6: Final answer
    x = 7,621.14

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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.