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Finding the Fourth Proportional to 11,784.94, 16,263.38 and 6,479.70

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Solution

The fourth proportional to 11,784.94, 16,263.38 and 6,479.70 is: 8,942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784.94 : 16,263.38 = 6,479.70 : x
  2. Step 2: Convert to fraction form
    11,784.94/16,263.38 = 6,479.70/x
  3. Step 3: Cross multiply
    11,784.94x = 16,263.38 × 6,479.70
  4. Step 4: Simplify right side
    11,784.94x = 105,381,823.39
  5. Step 5: Solve for x
    x = 105,381,823.39/11,784.94
  6. Step 6: Final answer
    x = 8,942.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.