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Finding the Fourth Proportional to 11,466.96, 15,904.80 and 11,000.40

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Solution

The fourth proportional to 11,466.96, 15,904.80 and 11,000.40 is: 15,257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.96 : 15,904.80 = 11,000.40 : x
  2. Step 2: Convert to fraction form
    11,466.96/15,904.80 = 11,000.40/x
  3. Step 3: Cross multiply
    11,466.96x = 15,904.80 × 11,000.40
  4. Step 4: Simplify right side
    11,466.96x = 174,959,161.92
  5. Step 5: Solve for x
    x = 174,959,161.92/11,466.96
  6. Step 6: Final answer
    x = 15,257.68

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.