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Finding the Fourth Proportional to 10,383.16, 15,576.72 and 5,700.64

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Solution

The fourth proportional to 10,383.16, 15,576.72 and 5,700.64 is: 8,552.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.16 : 15,576.72 = 5,700.64 : x
  2. Step 2: Convert to fraction form
    10,383.16/15,576.72 = 5,700.64/x
  3. Step 3: Cross multiply
    10,383.16x = 15,576.72 × 5,700.64
  4. Step 4: Simplify right side
    10,383.16x = 88,797,273.10
  5. Step 5: Solve for x
    x = 88,797,273.10/10,383.16
  6. Step 6: Final answer
    x = 8,552.05

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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.