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Finding the Fourth Proportional to 8,711.97, 12,022.77 and 5,356.74

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Solution

The fourth proportional to 8,711.97, 12,022.77 and 5,356.74 is: 7,392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.97 : 12,022.77 = 5,356.74 : x
  2. Step 2: Convert to fraction form
    8,711.97/12,022.77 = 5,356.74/x
  3. Step 3: Cross multiply
    8,711.97x = 12,022.77 × 5,356.74
  4. Step 4: Simplify right side
    8,711.97x = 64,402,852.97
  5. Step 5: Solve for x
    x = 64,402,852.97/8,711.97
  6. Step 6: Final answer
    x = 7,392.46

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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.