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Finding the Fourth Proportional to 11,805.91, 16,288.46 and 6,700.58

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Solution

The fourth proportional to 11,805.91, 16,288.46 and 6,700.58 is: 9,244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.91 : 16,288.46 = 6,700.58 : x
  2. Step 2: Convert to fraction form
    11,805.91/16,288.46 = 6,700.58/x
  3. Step 3: Cross multiply
    11,805.91x = 16,288.46 × 6,700.58
  4. Step 4: Simplify right side
    11,805.91x = 109,142,129.31
  5. Step 5: Solve for x
    x = 109,142,129.31/11,805.91
  6. Step 6: Final answer
    x = 9,244.70

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