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Finding the Fourth Proportional to 11,975.14, 16,524.90 and 6,938.47

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Solution

The fourth proportional to 11,975.14, 16,524.90 and 6,938.47 is: 9,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,975.14 : 16,524.90 = 6,938.47 : x
  2. Step 2: Convert to fraction form
    11,975.14/16,524.90 = 6,938.47/x
  3. Step 3: Cross multiply
    11,975.14x = 16,524.90 × 6,938.47
  4. Step 4: Simplify right side
    11,975.14x = 114,657,474.42
  5. Step 5: Solve for x
    x = 114,657,474.42/11,975.14
  6. Step 6: Final answer
    x = 9,574.62

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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.