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Finding the Fourth Proportional to 8,411.93, 11,620.25 and 7,969.07

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Solution

The fourth proportional to 8,411.93, 11,620.25 and 7,969.07 is: 11,008.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.93 : 11,620.25 = 7,969.07 : x
  2. Step 2: Convert to fraction form
    8,411.93/11,620.25 = 7,969.07/x
  3. Step 3: Cross multiply
    8,411.93x = 11,620.25 × 7,969.07
  4. Step 4: Simplify right side
    8,411.93x = 92,602,585.67
  5. Step 5: Solve for x
    x = 92,602,585.67/8,411.93
  6. Step 6: Final answer
    x = 11,008.48

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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.