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Finding the Fourth Proportional to 10,326.61, 15,491.54 and 6,171.31

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Solution

The fourth proportional to 10,326.61, 15,491.54 and 6,171.31 is: 9,257.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326.61 : 15,491.54 = 6,171.31 : x
  2. Step 2: Convert to fraction form
    10,326.61/15,491.54 = 6,171.31/x
  3. Step 3: Cross multiply
    10,326.61x = 15,491.54 × 6,171.31
  4. Step 4: Simplify right side
    10,326.61x = 95,603,095.72
  5. Step 5: Solve for x
    x = 95,603,095.72/10,326.61
  6. Step 6: Final answer
    x = 9,257.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.