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Finding the Fourth Proportional to 11,634.71, 16,055.55 and 6,599.39

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Solution

The fourth proportional to 11,634.71, 16,055.55 and 6,599.39 is: 9,106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.71 : 16,055.55 = 6,599.39 : x
  2. Step 2: Convert to fraction form
    11,634.71/16,055.55 = 6,599.39/x
  3. Step 3: Cross multiply
    11,634.71x = 16,055.55 × 6,599.39
  4. Step 4: Simplify right side
    11,634.71x = 105,956,755.84
  5. Step 5: Solve for x
    x = 105,956,755.84/11,634.71
  6. Step 6: Final answer
    x = 9,106.96

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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.