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Finding the Fourth Proportional to 10,286.74, 14,195.74 and 5,810.54

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Solution

The fourth proportional to 10,286.74, 14,195.74 and 5,810.54 is: 8,018.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.74 : 14,195.74 = 5,810.54 : x
  2. Step 2: Convert to fraction form
    10,286.74/14,195.74 = 5,810.54/x
  3. Step 3: Cross multiply
    10,286.74x = 14,195.74 × 5,810.54
  4. Step 4: Simplify right side
    10,286.74x = 82,484,915.10
  5. Step 5: Solve for x
    x = 82,484,915.10/10,286.74
  6. Step 6: Final answer
    x = 8,018.57

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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.