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Finding the Fourth Proportional to 10,930.94, 15,084.09 and 6,453.66

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Solution

The fourth proportional to 10,930.94, 15,084.09 and 6,453.66 is: 8,905.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.94 : 15,084.09 = 6,453.66 : x
  2. Step 2: Convert to fraction form
    10,930.94/15,084.09 = 6,453.66/x
  3. Step 3: Cross multiply
    10,930.94x = 15,084.09 × 6,453.66
  4. Step 4: Simplify right side
    10,930.94x = 97,347,588.27
  5. Step 5: Solve for x
    x = 97,347,588.27/10,930.94
  6. Step 6: Final answer
    x = 8,905.69

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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.