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Finding the Fourth Proportional to 11,624.34, 16,041.06 and 6,588.26

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Solution

The fourth proportional to 11,624.34, 16,041.06 and 6,588.26 is: 9,091.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.34 : 16,041.06 = 6,588.26 : x
  2. Step 2: Convert to fraction form
    11,624.34/16,041.06 = 6,588.26/x
  3. Step 3: Cross multiply
    11,624.34x = 16,041.06 × 6,588.26
  4. Step 4: Simplify right side
    11,624.34x = 105,682,673.96
  5. Step 5: Solve for x
    x = 105,682,673.96/11,624.34
  6. Step 6: Final answer
    x = 9,091.50

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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.