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Finding the Fourth Proportional to 8,089.54, 11,150.86 and 7,411.58

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Solution

The fourth proportional to 8,089.54, 11,150.86 and 7,411.58 is: 10,216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.54 : 11,150.86 = 7,411.58 : x
  2. Step 2: Convert to fraction form
    8,089.54/11,150.86 = 7,411.58/x
  3. Step 3: Cross multiply
    8,089.54x = 11,150.86 × 7,411.58
  4. Step 4: Simplify right side
    8,089.54x = 82,645,490.96
  5. Step 5: Solve for x
    x = 82,645,490.96/8,089.54
  6. Step 6: Final answer
    x = 10,216.34

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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.