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Finding the Fourth Proportional to 10,929.36, 16,384.20 and 4,002.24

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Solution

The fourth proportional to 10,929.36, 16,384.20 and 4,002.24 is: 5,999.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.36 : 16,384.20 = 4,002.24 : x
  2. Step 2: Convert to fraction form
    10,929.36/16,384.20 = 4,002.24/x
  3. Step 3: Cross multiply
    10,929.36x = 16,384.20 × 4,002.24
  4. Step 4: Simplify right side
    10,929.36x = 65,573,500.61
  5. Step 5: Solve for x
    x = 65,573,500.61/10,929.36
  6. Step 6: Final answer
    x = 5,999.76

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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.