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Finding the Fourth Proportional to 8,813.64, 12,162.96 and 5,277

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Solution

The fourth proportional to 8,813.64, 12,162.96 and 5,277 is: 7,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,813.64 : 12,162.96 = 5,277 : x
  2. Step 2: Convert to fraction form
    8,813.64/12,162.96 = 5,277/x
  3. Step 3: Cross multiply
    8,813.64x = 12,162.96 × 5,277
  4. Step 4: Simplify right side
    8,813.64x = 64,183,939.92
  5. Step 5: Solve for x
    x = 64,183,939.92/8,813.64
  6. Step 6: Final answer
    x = 7,282.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.