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Finding the Fourth Proportional to 11,516.64, 15,894.96 and 6,801.12

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Solution

The fourth proportional to 11,516.64, 15,894.96 and 6,801.12 is: 9,386.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.64 : 15,894.96 = 6,801.12 : x
  2. Step 2: Convert to fraction form
    11,516.64/15,894.96 = 6,801.12/x
  3. Step 3: Cross multiply
    11,516.64x = 15,894.96 × 6,801.12
  4. Step 4: Simplify right side
    11,516.64x = 108,103,530.36
  5. Step 5: Solve for x
    x = 108,103,530.36/11,516.64
  6. Step 6: Final answer
    x = 9,386.72

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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.