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Finding the Fourth Proportional to 10,924.84, 16,387.98 and 3,133.72

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Solution

The fourth proportional to 10,924.84, 16,387.98 and 3,133.72 is: 4,700.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,924.84 : 16,387.98 = 3,133.72 : x
  2. Step 2: Convert to fraction form
    10,924.84/16,387.98 = 3,133.72/x
  3. Step 3: Cross multiply
    10,924.84x = 16,387.98 × 3,133.72
  4. Step 4: Simplify right side
    10,924.84x = 51,355,340.69
  5. Step 5: Solve for x
    x = 51,355,340.69/10,924.84
  6. Step 6: Final answer
    x = 4,700.79

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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.