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Finding the Fourth Proportional to 10,129.54, 13,980.09 and 5,938.18

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Solution

The fourth proportional to 10,129.54, 13,980.09 and 5,938.18 is: 8,195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.54 : 13,980.09 = 5,938.18 : x
  2. Step 2: Convert to fraction form
    10,129.54/13,980.09 = 5,938.18/x
  3. Step 3: Cross multiply
    10,129.54x = 13,980.09 × 5,938.18
  4. Step 4: Simplify right side
    10,129.54x = 83,016,290.84
  5. Step 5: Solve for x
    x = 83,016,290.84/10,129.54
  6. Step 6: Final answer
    x = 8,195.47

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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.