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Finding the Fourth Proportional to 11,653.60, 16,082 and 6,348.46

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Solution

The fourth proportional to 11,653.60, 16,082 and 6,348.46 is: 8,760.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.60 : 16,082 = 6,348.46 : x
  2. Step 2: Convert to fraction form
    11,653.60/16,082 = 6,348.46/x
  3. Step 3: Cross multiply
    11,653.60x = 16,082 × 6,348.46
  4. Step 4: Simplify right side
    11,653.60x = 102,095,933.72
  5. Step 5: Solve for x
    x = 102,095,933.72/11,653.60
  6. Step 6: Final answer
    x = 8,760.89

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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.