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Finding the Fourth Proportional to 10,050, 13,870.62 and 5,857.44

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Solution

The fourth proportional to 10,050, 13,870.62 and 5,857.44 is: 8,084.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,050 : 13,870.62 = 5,857.44 : x
  2. Step 2: Convert to fraction form
    10,050/13,870.62 = 5,857.44/x
  3. Step 3: Cross multiply
    10,050x = 13,870.62 × 5,857.44
  4. Step 4: Simplify right side
    10,050x = 81,246,324.41
  5. Step 5: Solve for x
    x = 81,246,324.41/10,050
  6. Step 6: Final answer
    x = 8,084.21

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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.