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Finding the Fourth Proportional to 8,351.06, 11,498.24 and 7,089.50

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Solution

The fourth proportional to 8,351.06, 11,498.24 and 7,089.50 is: 9,761.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351.06 : 11,498.24 = 7,089.50 : x
  2. Step 2: Convert to fraction form
    8,351.06/11,498.24 = 7,089.50/x
  3. Step 3: Cross multiply
    8,351.06x = 11,498.24 × 7,089.50
  4. Step 4: Simplify right side
    8,351.06x = 81,516,737.03
  5. Step 5: Solve for x
    x = 81,516,737.03/8,351.06
  6. Step 6: Final answer
    x = 9,761.24

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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.