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Finding the Fourth Proportional to 11,875.34, 16,387.41 and 6,839.71

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Solution

The fourth proportional to 11,875.34, 16,387.41 and 6,839.71 is: 9,438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.34 : 16,387.41 = 6,839.71 : x
  2. Step 2: Convert to fraction form
    11,875.34/16,387.41 = 6,839.71/x
  3. Step 3: Cross multiply
    11,875.34x = 16,387.41 × 6,839.71
  4. Step 4: Simplify right side
    11,875.34x = 112,085,116.73
  5. Step 5: Solve for x
    x = 112,085,116.73/11,875.34
  6. Step 6: Final answer
    x = 9,438.47

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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.