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Finding the Fourth Proportional to 10,684.17, 16,026.48 and 3,288.69

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Solution

The fourth proportional to 10,684.17, 16,026.48 and 3,288.69 is: 4,933.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.17 : 16,026.48 = 3,288.69 : x
  2. Step 2: Convert to fraction form
    10,684.17/16,026.48 = 3,288.69/x
  3. Step 3: Cross multiply
    10,684.17x = 16,026.48 × 3,288.69
  4. Step 4: Simplify right side
    10,684.17x = 52,706,124.51
  5. Step 5: Solve for x
    x = 52,706,124.51/10,684.17
  6. Step 6: Final answer
    x = 4,933.10

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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.