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Finding the Fourth Proportional to 10,929.96, 16,393.98 and 5,664.72

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Solution

The fourth proportional to 10,929.96, 16,393.98 and 5,664.72 is: 8,496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.96 : 16,393.98 = 5,664.72 : x
  2. Step 2: Convert to fraction form
    10,929.96/16,393.98 = 5,664.72/x
  3. Step 3: Cross multiply
    10,929.96x = 16,393.98 × 5,664.72
  4. Step 4: Simplify right side
    10,929.96x = 92,867,306.39
  5. Step 5: Solve for x
    x = 92,867,306.39/10,929.96
  6. Step 6: Final answer
    x = 8,496.58

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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.