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Finding the Fourth Proportional to 11,878.32, 16,391.85 and 6,573.14

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Solution

The fourth proportional to 11,878.32, 16,391.85 and 6,573.14 is: 9,070.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.32 : 16,391.85 = 6,573.14 : x
  2. Step 2: Convert to fraction form
    11,878.32/16,391.85 = 6,573.14/x
  3. Step 3: Cross multiply
    11,878.32x = 16,391.85 × 6,573.14
  4. Step 4: Simplify right side
    11,878.32x = 107,745,924.91
  5. Step 5: Solve for x
    x = 107,745,924.91/11,878.32
  6. Step 6: Final answer
    x = 9,070.81

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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.