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Finding the Fourth Proportional to 11,730.76, 16,188.70 and 6,425.80

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Solution

The fourth proportional to 11,730.76, 16,188.70 and 6,425.80 is: 8,867.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.76 : 16,188.70 = 6,425.80 : x
  2. Step 2: Convert to fraction form
    11,730.76/16,188.70 = 6,425.80/x
  3. Step 3: Cross multiply
    11,730.76x = 16,188.70 × 6,425.80
  4. Step 4: Simplify right side
    11,730.76x = 104,025,348.46
  5. Step 5: Solve for x
    x = 104,025,348.46/11,730.76
  6. Step 6: Final answer
    x = 8,867.74

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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.