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Finding the Fourth Proportional to 11,696.60, 16,140.62 and 6,390.36

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Solution

The fourth proportional to 11,696.60, 16,140.62 and 6,390.36 is: 8,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.60 : 16,140.62 = 6,390.36 : x
  2. Step 2: Convert to fraction form
    11,696.60/16,140.62 = 6,390.36/x
  3. Step 3: Cross multiply
    11,696.60x = 16,140.62 × 6,390.36
  4. Step 4: Simplify right side
    11,696.60x = 103,144,372.42
  5. Step 5: Solve for x
    x = 103,144,372.42/11,696.60
  6. Step 6: Final answer
    x = 8,818.32

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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.