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Finding the Fourth Proportional to 10,057.04, 15,083.08 and 4,218

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Solution

The fourth proportional to 10,057.04, 15,083.08 and 4,218 is: 6,325.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.04 : 15,083.08 = 4,218 : x
  2. Step 2: Convert to fraction form
    10,057.04/15,083.08 = 4,218/x
  3. Step 3: Cross multiply
    10,057.04x = 15,083.08 × 4,218
  4. Step 4: Simplify right side
    10,057.04x = 63,620,431.44
  5. Step 5: Solve for x
    x = 63,620,431.44/10,057.04
  6. Step 6: Final answer
    x = 6,325.96

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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.