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Finding the Fourth Proportional to 10,789.83, 14,894.15 and 8,432.73

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Solution

The fourth proportional to 10,789.83, 14,894.15 and 8,432.73 is: 11,640.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,789.83 : 14,894.15 = 8,432.73 : x
  2. Step 2: Convert to fraction form
    10,789.83/14,894.15 = 8,432.73/x
  3. Step 3: Cross multiply
    10,789.83x = 14,894.15 × 8,432.73
  4. Step 4: Simplify right side
    10,789.83x = 125,598,303.37
  5. Step 5: Solve for x
    x = 125,598,303.37/10,789.83
  6. Step 6: Final answer
    x = 11,640.43

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