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Finding the Fourth Proportional to 10,725.76, 16,093.12 and 9,864.64

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Solution

The fourth proportional to 10,725.76, 16,093.12 and 9,864.64 is: 14,801.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.76 : 16,093.12 = 9,864.64 : x
  2. Step 2: Convert to fraction form
    10,725.76/16,093.12 = 9,864.64/x
  3. Step 3: Cross multiply
    10,725.76x = 16,093.12 × 9,864.64
  4. Step 4: Simplify right side
    10,725.76x = 158,752,835.28
  5. Step 5: Solve for x
    x = 158,752,835.28/10,725.76
  6. Step 6: Final answer
    x = 14,801.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.