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Finding the Fourth Proportional to 10,040.96, 13,858.49 and 6,404.67

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Solution

The fourth proportional to 10,040.96, 13,858.49 and 6,404.67 is: 8,839.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.96 : 13,858.49 = 6,404.67 : x
  2. Step 2: Convert to fraction form
    10,040.96/13,858.49 = 6,404.67/x
  3. Step 3: Cross multiply
    10,040.96x = 13,858.49 × 6,404.67
  4. Step 4: Simplify right side
    10,040.96x = 88,759,071.16
  5. Step 5: Solve for x
    x = 88,759,071.16/10,040.96
  6. Step 6: Final answer
    x = 8,839.70

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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.