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Finding the Fourth Proportional to 11,141.82, 15,377.04 and 6,426

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Solution

The fourth proportional to 11,141.82, 15,377.04 and 6,426 is: 8,868.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.82 : 15,377.04 = 6,426 : x
  2. Step 2: Convert to fraction form
    11,141.82/15,377.04 = 6,426/x
  3. Step 3: Cross multiply
    11,141.82x = 15,377.04 × 6,426
  4. Step 4: Simplify right side
    11,141.82x = 98,812,859.04
  5. Step 5: Solve for x
    x = 98,812,859.04/11,141.82
  6. Step 6: Final answer
    x = 8,868.65

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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.