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Finding the Fourth Proportional to 11,878.64, 16,394.64 and 7,165.52

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Solution

The fourth proportional to 11,878.64, 16,394.64 and 7,165.52 is: 9,889.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.64 : 16,394.64 = 7,165.52 : x
  2. Step 2: Convert to fraction form
    11,878.64/16,394.64 = 7,165.52/x
  3. Step 3: Cross multiply
    11,878.64x = 16,394.64 × 7,165.52
  4. Step 4: Simplify right side
    11,878.64x = 117,476,120.81
  5. Step 5: Solve for x
    x = 117,476,120.81/11,878.64
  6. Step 6: Final answer
    x = 9,889.69

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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.