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Finding the Fourth Proportional to 11,341.83, 15,651.76 and 6,306.38

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Solution

The fourth proportional to 11,341.83, 15,651.76 and 6,306.38 is: 8,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341.83 : 15,651.76 = 6,306.38 : x
  2. Step 2: Convert to fraction form
    11,341.83/15,651.76 = 6,306.38/x
  3. Step 3: Cross multiply
    11,341.83x = 15,651.76 × 6,306.38
  4. Step 4: Simplify right side
    11,341.83x = 98,705,867.97
  5. Step 5: Solve for x
    x = 98,705,867.97/11,341.83
  6. Step 6: Final answer
    x = 8,702.82

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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.