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Finding the Fourth Proportional to 11,432.25, 15,776.15 and 6,396.89

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Solution

The fourth proportional to 11,432.25, 15,776.15 and 6,396.89 is: 8,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432.25 : 15,776.15 = 6,396.89 : x
  2. Step 2: Convert to fraction form
    11,432.25/15,776.15 = 6,396.89/x
  3. Step 3: Cross multiply
    11,432.25x = 15,776.15 × 6,396.89
  4. Step 4: Simplify right side
    11,432.25x = 100,918,185.31
  5. Step 5: Solve for x
    x = 100,918,185.31/11,432.25
  6. Step 6: Final answer
    x = 8,827.50

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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.