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Finding the Fourth Proportional to 11,142.58, 16,714.25 and 4,124.35

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Solution

The fourth proportional to 11,142.58, 16,714.25 and 4,124.35 is: 6,186.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.58 : 16,714.25 = 4,124.35 : x
  2. Step 2: Convert to fraction form
    11,142.58/16,714.25 = 4,124.35/x
  3. Step 3: Cross multiply
    11,142.58x = 16,714.25 × 4,124.35
  4. Step 4: Simplify right side
    11,142.58x = 68,935,432.72
  5. Step 5: Solve for x
    x = 68,935,432.72/11,142.58
  6. Step 6: Final answer
    x = 6,186.67

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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.