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Finding the Fourth Proportional to 8,274.46, 11,419.32 and 4,689.38

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Solution

The fourth proportional to 8,274.46, 11,419.32 and 4,689.38 is: 6,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.46 : 11,419.32 = 4,689.38 : x
  2. Step 2: Convert to fraction form
    8,274.46/11,419.32 = 4,689.38/x
  3. Step 3: Cross multiply
    8,274.46x = 11,419.32 × 4,689.38
  4. Step 4: Simplify right side
    8,274.46x = 53,549,530.82
  5. Step 5: Solve for x
    x = 53,549,530.82/8,274.46
  6. Step 6: Final answer
    x = 6,471.66

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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.