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Finding the Fourth Proportional to 11,835.74, 16,326.44 and 7,585.29

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Solution

The fourth proportional to 11,835.74, 16,326.44 and 7,585.29 is: 10,463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.74 : 16,326.44 = 7,585.29 : x
  2. Step 2: Convert to fraction form
    11,835.74/16,326.44 = 7,585.29/x
  3. Step 3: Cross multiply
    11,835.74x = 16,326.44 × 7,585.29
  4. Step 4: Simplify right side
    11,835.74x = 123,840,744.14
  5. Step 5: Solve for x
    x = 123,840,744.14/11,835.74
  6. Step 6: Final answer
    x = 10,463.28

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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.