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Finding the Fourth Proportional to 11,141.80, 16,712.70 and 4,565.80

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Solution

The fourth proportional to 11,141.80, 16,712.70 and 4,565.80 is: 6,848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.80 : 16,712.70 = 4,565.80 : x
  2. Step 2: Convert to fraction form
    11,141.80/16,712.70 = 4,565.80/x
  3. Step 3: Cross multiply
    11,141.80x = 16,712.70 × 4,565.80
  4. Step 4: Simplify right side
    11,141.80x = 76,306,845.66
  5. Step 5: Solve for x
    x = 76,306,845.66/11,141.80
  6. Step 6: Final answer
    x = 6,848.70

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Why These Related Problems?

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