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Finding the Fourth Proportional to 10,854.72, 16,283.16 and 5,013

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Solution

The fourth proportional to 10,854.72, 16,283.16 and 5,013 is: 7,520.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.72 : 16,283.16 = 5,013 : x
  2. Step 2: Convert to fraction form
    10,854.72/16,283.16 = 5,013/x
  3. Step 3: Cross multiply
    10,854.72x = 16,283.16 × 5,013
  4. Step 4: Simplify right side
    10,854.72x = 81,627,481.08
  5. Step 5: Solve for x
    x = 81,627,481.08/10,854.72
  6. Step 6: Final answer
    x = 7,520.00

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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.