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Finding the Fourth Proportional to 11,796, 16,277.76 and 6,491.40

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Solution

The fourth proportional to 11,796, 16,277.76 and 6,491.40 is: 8,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796 : 16,277.76 = 6,491.40 : x
  2. Step 2: Convert to fraction form
    11,796/16,277.76 = 6,491.40/x
  3. Step 3: Cross multiply
    11,796x = 16,277.76 × 6,491.40
  4. Step 4: Simplify right side
    11,796x = 105,665,451.26
  5. Step 5: Solve for x
    x = 105,665,451.26/11,796
  6. Step 6: Final answer
    x = 8,957.74

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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.