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Finding the Fourth Proportional to 10,952.34, 15,112.71 and 6,171.48

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Solution

The fourth proportional to 10,952.34, 15,112.71 and 6,171.48 is: 8,515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.34 : 15,112.71 = 6,171.48 : x
  2. Step 2: Convert to fraction form
    10,952.34/15,112.71 = 6,171.48/x
  3. Step 3: Cross multiply
    10,952.34x = 15,112.71 × 6,171.48
  4. Step 4: Simplify right side
    10,952.34x = 93,267,787.51
  5. Step 5: Solve for x
    x = 93,267,787.51/10,952.34
  6. Step 6: Final answer
    x = 8,515.79

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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.