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Finding the Fourth Proportional to 10,914.75, 15,059.93 and 6,438.69

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Solution

The fourth proportional to 10,914.75, 15,059.93 and 6,438.69 is: 8,883.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.75 : 15,059.93 = 6,438.69 : x
  2. Step 2: Convert to fraction form
    10,914.75/15,059.93 = 6,438.69/x
  3. Step 3: Cross multiply
    10,914.75x = 15,059.93 × 6,438.69
  4. Step 4: Simplify right side
    10,914.75x = 96,966,188.50
  5. Step 5: Solve for x
    x = 96,966,188.50/10,914.75
  6. Step 6: Final answer
    x = 8,883.96

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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.