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Finding the Fourth Proportional to 11,954.40, 16,495.45 and 6,648.19

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Solution

The fourth proportional to 11,954.40, 16,495.45 and 6,648.19 is: 9,173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.40 : 16,495.45 = 6,648.19 : x
  2. Step 2: Convert to fraction form
    11,954.40/16,495.45 = 6,648.19/x
  3. Step 3: Cross multiply
    11,954.40x = 16,495.45 × 6,648.19
  4. Step 4: Simplify right side
    11,954.40x = 109,664,885.74
  5. Step 5: Solve for x
    x = 109,664,885.74/11,954.40
  6. Step 6: Final answer
    x = 9,173.60

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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.