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Finding the Fourth Proportional to 10,586.89, 15,883.04 and 3,192

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Solution

The fourth proportional to 10,586.89, 15,883.04 and 3,192 is: 4,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.89 : 15,883.04 = 3,192 : x
  2. Step 2: Convert to fraction form
    10,586.89/15,883.04 = 3,192/x
  3. Step 3: Cross multiply
    10,586.89x = 15,883.04 × 3,192
  4. Step 4: Simplify right side
    10,586.89x = 50,698,663.68
  5. Step 5: Solve for x
    x = 50,698,663.68/10,586.89
  6. Step 6: Final answer
    x = 4,788.82

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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.