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Finding the Fourth Proportional to 10,452.54, 15,676.98 and 4,125.72

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Solution

The fourth proportional to 10,452.54, 15,676.98 and 4,125.72 is: 6,187.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.54 : 15,676.98 = 4,125.72 : x
  2. Step 2: Convert to fraction form
    10,452.54/15,676.98 = 4,125.72/x
  3. Step 3: Cross multiply
    10,452.54x = 15,676.98 × 4,125.72
  4. Step 4: Simplify right side
    10,452.54x = 64,678,829.93
  5. Step 5: Solve for x
    x = 64,678,829.93/10,452.54
  6. Step 6: Final answer
    x = 6,187.86

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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.