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Finding the Fourth Proportional to 12,346.47, 17,040.78 and 7,869.15

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Solution

The fourth proportional to 12,346.47, 17,040.78 and 7,869.15 is: 10,861.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.47 : 17,040.78 = 7,869.15 : x
  2. Step 2: Convert to fraction form
    12,346.47/17,040.78 = 7,869.15/x
  3. Step 3: Cross multiply
    12,346.47x = 17,040.78 × 7,869.15
  4. Step 4: Simplify right side
    12,346.47x = 134,096,453.94
  5. Step 5: Solve for x
    x = 134,096,453.94/12,346.47
  6. Step 6: Final answer
    x = 10,861.12

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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.