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Finding the Fourth Proportional to 10,586.64, 15,874.84 and 3,189.72

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Solution

The fourth proportional to 10,586.64, 15,874.84 and 3,189.72 is: 4,783.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.64 : 15,874.84 = 3,189.72 : x
  2. Step 2: Convert to fraction form
    10,586.64/15,874.84 = 3,189.72/x
  3. Step 3: Cross multiply
    10,586.64x = 15,874.84 × 3,189.72
  4. Step 4: Simplify right side
    10,586.64x = 50,636,294.64
  5. Step 5: Solve for x
    x = 50,636,294.64/10,586.64
  6. Step 6: Final answer
    x = 4,783.04

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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.