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Finding the Fourth Proportional to 10,575.34, 15,874.54 and 6,137.86

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Solution

The fourth proportional to 10,575.34, 15,874.54 and 6,137.86 is: 9,213.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.34 : 15,874.54 = 6,137.86 : x
  2. Step 2: Convert to fraction form
    10,575.34/15,874.54 = 6,137.86/x
  3. Step 3: Cross multiply
    10,575.34x = 15,874.54 × 6,137.86
  4. Step 4: Simplify right side
    10,575.34x = 97,435,704.08
  5. Step 5: Solve for x
    x = 97,435,704.08/10,575.34
  6. Step 6: Final answer
    x = 9,213.48

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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.