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Finding the Fourth Proportional to 11,644.81, 16,070.40 and 6,864.91

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Solution

The fourth proportional to 11,644.81, 16,070.40 and 6,864.91 is: 9,473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.81 : 16,070.40 = 6,864.91 : x
  2. Step 2: Convert to fraction form
    11,644.81/16,070.40 = 6,864.91/x
  3. Step 3: Cross multiply
    11,644.81x = 16,070.40 × 6,864.91
  4. Step 4: Simplify right side
    11,644.81x = 110,321,769.31
  5. Step 5: Solve for x
    x = 110,321,769.31/11,644.81
  6. Step 6: Final answer
    x = 9,473.90

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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.