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Finding the Fourth Proportional to 11,953.40, 16,494.08 and 6,647.19

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Solution

The fourth proportional to 11,953.40, 16,494.08 and 6,647.19 is: 9,172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.40 : 16,494.08 = 6,647.19 : x
  2. Step 2: Convert to fraction form
    11,953.40/16,494.08 = 6,647.19/x
  3. Step 3: Cross multiply
    11,953.40x = 16,494.08 × 6,647.19
  4. Step 4: Simplify right side
    11,953.40x = 109,639,250.40
  5. Step 5: Solve for x
    x = 109,639,250.40/11,953.40
  6. Step 6: Final answer
    x = 9,172.23

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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.