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Finding the Fourth Proportional to 10,141.35, 13,991.33 and 6,364.67

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Solution

The fourth proportional to 10,141.35, 13,991.33 and 6,364.67 is: 8,780.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.35 : 13,991.33 = 6,364.67 : x
  2. Step 2: Convert to fraction form
    10,141.35/13,991.33 = 6,364.67/x
  3. Step 3: Cross multiply
    10,141.35x = 13,991.33 × 6,364.67
  4. Step 4: Simplify right side
    10,141.35x = 89,050,096.53
  5. Step 5: Solve for x
    x = 89,050,096.53/10,141.35
  6. Step 6: Final answer
    x = 8,780.89

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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.