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Finding the Fourth Proportional to 10,129.93, 13,980.54 and 5,938.18

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Solution

The fourth proportional to 10,129.93, 13,980.54 and 5,938.18 is: 8,195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.93 : 13,980.54 = 5,938.18 : x
  2. Step 2: Convert to fraction form
    10,129.93/13,980.54 = 5,938.18/x
  3. Step 3: Cross multiply
    10,129.93x = 13,980.54 × 5,938.18
  4. Step 4: Simplify right side
    10,129.93x = 83,018,963.02
  5. Step 5: Solve for x
    x = 83,018,963.02/10,129.93
  6. Step 6: Final answer
    x = 8,195.41

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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.