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Finding the Fourth Proportional to 11,588.58, 16,001.01 and 7,118.46

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Solution

The fourth proportional to 11,588.58, 16,001.01 and 7,118.46 is: 9,828.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.58 : 16,001.01 = 7,118.46 : x
  2. Step 2: Convert to fraction form
    11,588.58/16,001.01 = 7,118.46/x
  3. Step 3: Cross multiply
    11,588.58x = 16,001.01 × 7,118.46
  4. Step 4: Simplify right side
    11,588.58x = 113,902,549.64
  5. Step 5: Solve for x
    x = 113,902,549.64/11,588.58
  6. Step 6: Final answer
    x = 9,828.86

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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.