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Finding the Fourth Proportional to 10,052.56, 13,873.08 and 6,518.80

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Solution

The fourth proportional to 10,052.56, 13,873.08 and 6,518.80 is: 8,996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.56 : 13,873.08 = 6,518.80 : x
  2. Step 2: Convert to fraction form
    10,052.56/13,873.08 = 6,518.80/x
  3. Step 3: Cross multiply
    10,052.56x = 13,873.08 × 6,518.80
  4. Step 4: Simplify right side
    10,052.56x = 90,435,833.90
  5. Step 5: Solve for x
    x = 90,435,833.90/10,052.56
  6. Step 6: Final answer
    x = 8,996.30

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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.