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Finding the Fourth Proportional to 10,684.84, 16,005.38 and 6,289.24

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Solution

The fourth proportional to 10,684.84, 16,005.38 and 6,289.24 is: 9,420.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.84 : 16,005.38 = 6,289.24 : x
  2. Step 2: Convert to fraction form
    10,684.84/16,005.38 = 6,289.24/x
  3. Step 3: Cross multiply
    10,684.84x = 16,005.38 × 6,289.24
  4. Step 4: Simplify right side
    10,684.84x = 100,661,676.11
  5. Step 5: Solve for x
    x = 100,661,676.11/10,684.84
  6. Step 6: Final answer
    x = 9,420.98

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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.