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Finding the Fourth Proportional to 11,468.72, 15,805.40 and 8,946.83

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Solution

The fourth proportional to 11,468.72, 15,805.40 and 8,946.83 is: 12,329.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.72 : 15,805.40 = 8,946.83 : x
  2. Step 2: Convert to fraction form
    11,468.72/15,805.40 = 8,946.83/x
  3. Step 3: Cross multiply
    11,468.72x = 15,805.40 × 8,946.83
  4. Step 4: Simplify right side
    11,468.72x = 141,408,103.12
  5. Step 5: Solve for x
    x = 141,408,103.12/11,468.72
  6. Step 6: Final answer
    x = 12,329.90

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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.