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Finding the Fourth Proportional to 11,878.92, 16,392.68 and 6,573.77

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Solution

The fourth proportional to 11,878.92, 16,392.68 and 6,573.77 is: 9,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.92 : 16,392.68 = 6,573.77 : x
  2. Step 2: Convert to fraction form
    11,878.92/16,392.68 = 6,573.77/x
  3. Step 3: Cross multiply
    11,878.92x = 16,392.68 × 6,573.77
  4. Step 4: Simplify right side
    11,878.92x = 107,761,771.50
  5. Step 5: Solve for x
    x = 107,761,771.50/11,878.92
  6. Step 6: Final answer
    x = 9,071.68

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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.