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Finding the Fourth Proportional to 10,036.96, 13,856.46 and 6,059

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Solution

The fourth proportional to 10,036.96, 13,856.46 and 6,059 is: 8,364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.96 : 13,856.46 = 6,059 : x
  2. Step 2: Convert to fraction form
    10,036.96/13,856.46 = 6,059/x
  3. Step 3: Cross multiply
    10,036.96x = 13,856.46 × 6,059
  4. Step 4: Simplify right side
    10,036.96x = 83,956,291.14
  5. Step 5: Solve for x
    x = 83,956,291.14/10,036.96
  6. Step 6: Final answer
    x = 8,364.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.