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Finding the Fourth Proportional to 8,429.91, 11,638.76 and 7,544.19

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Solution

The fourth proportional to 8,429.91, 11,638.76 and 7,544.19 is: 10,415.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.91 : 11,638.76 = 7,544.19 : x
  2. Step 2: Convert to fraction form
    8,429.91/11,638.76 = 7,544.19/x
  3. Step 3: Cross multiply
    8,429.91x = 11,638.76 × 7,544.19
  4. Step 4: Simplify right side
    8,429.91x = 87,804,979.08
  5. Step 5: Solve for x
    x = 87,804,979.08/8,429.91
  6. Step 6: Final answer
    x = 10,415.89

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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.