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Finding the Fourth Proportional to 10,146.39, 13,975.97 and 7,156.97

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Solution

The fourth proportional to 10,146.39, 13,975.97 and 7,156.97 is: 9,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.39 : 13,975.97 = 7,156.97 : x
  2. Step 2: Convert to fraction form
    10,146.39/13,975.97 = 7,156.97/x
  3. Step 3: Cross multiply
    10,146.39x = 13,975.97 × 7,156.97
  4. Step 4: Simplify right side
    10,146.39x = 100,025,598.01
  5. Step 5: Solve for x
    x = 100,025,598.01/10,146.39
  6. Step 6: Final answer
    x = 9,858.24

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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.