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Finding the Fourth Proportional to 10,052.96, 13,873.12 and 5,576.80

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Solution

The fourth proportional to 10,052.96, 13,873.12 and 5,576.80 is: 7,696.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.96 : 13,873.12 = 5,576.80 : x
  2. Step 2: Convert to fraction form
    10,052.96/13,873.12 = 5,576.80/x
  3. Step 3: Cross multiply
    10,052.96x = 13,873.12 × 5,576.80
  4. Step 4: Simplify right side
    10,052.96x = 77,367,615.62
  5. Step 5: Solve for x
    x = 77,367,615.62/10,052.96
  6. Step 6: Final answer
    x = 7,696.00

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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.