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Finding the Fourth Proportional to 11,948.92, 16,466.22 and 8,968.12

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Solution

The fourth proportional to 11,948.92, 16,466.22 and 8,968.12 is: 12,358.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.92 : 16,466.22 = 8,968.12 : x
  2. Step 2: Convert to fraction form
    11,948.92/16,466.22 = 8,968.12/x
  3. Step 3: Cross multiply
    11,948.92x = 16,466.22 × 8,968.12
  4. Step 4: Simplify right side
    11,948.92x = 147,671,036.91
  5. Step 5: Solve for x
    x = 147,671,036.91/11,948.92
  6. Step 6: Final answer
    x = 12,358.53

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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.