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Finding the Fourth Proportional to 8,269.05, 11,415.02 and 5,288.91

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Solution

The fourth proportional to 8,269.05, 11,415.02 and 5,288.91 is: 7,301.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.05 : 11,415.02 = 5,288.91 : x
  2. Step 2: Convert to fraction form
    8,269.05/11,415.02 = 5,288.91/x
  3. Step 3: Cross multiply
    8,269.05x = 11,415.02 × 5,288.91
  4. Step 4: Simplify right side
    8,269.05x = 60,373,013.43
  5. Step 5: Solve for x
    x = 60,373,013.43/8,269.05
  6. Step 6: Final answer
    x = 7,301.08

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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.