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Finding the Fourth Proportional to 10,930.76, 16,398.22 and 4,005.64

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Solution

The fourth proportional to 10,930.76, 16,398.22 and 4,005.64 is: 6,009.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.76 : 16,398.22 = 4,005.64 : x
  2. Step 2: Convert to fraction form
    10,930.76/16,398.22 = 4,005.64/x
  3. Step 3: Cross multiply
    10,930.76x = 16,398.22 × 4,005.64
  4. Step 4: Simplify right side
    10,930.76x = 65,685,365.96
  5. Step 5: Solve for x
    x = 65,685,365.96/10,930.76
  6. Step 6: Final answer
    x = 6,009.22

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