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Finding the Fourth Proportional to 8,411.83, 12,661.61 and 7,143.37

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Solution

The fourth proportional to 8,411.83, 12,661.61 and 7,143.37 is: 10,752.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.83 : 12,661.61 = 7,143.37 : x
  2. Step 2: Convert to fraction form
    8,411.83/12,661.61 = 7,143.37/x
  3. Step 3: Cross multiply
    8,411.83x = 12,661.61 × 7,143.37
  4. Step 4: Simplify right side
    8,411.83x = 90,446,565.03
  5. Step 5: Solve for x
    x = 90,446,565.03/8,411.83
  6. Step 6: Final answer
    x = 10,752.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.