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Finding the Fourth Proportional to 11,446.25, 17,178.16 and 5,123.09

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Solution

The fourth proportional to 11,446.25, 17,178.16 and 5,123.09 is: 7,688.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.25 : 17,178.16 = 5,123.09 : x
  2. Step 2: Convert to fraction form
    11,446.25/17,178.16 = 5,123.09/x
  3. Step 3: Cross multiply
    11,446.25x = 17,178.16 × 5,123.09
  4. Step 4: Simplify right side
    11,446.25x = 88,005,259.71
  5. Step 5: Solve for x
    x = 88,005,259.71/11,446.25
  6. Step 6: Final answer
    x = 7,688.57

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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.