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Finding the Fourth Proportional to 8,364.83, 12,451.66 and 8,240.22

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Solution

The fourth proportional to 8,364.83, 12,451.66 and 8,240.22 is: 12,266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.83 : 12,451.66 = 8,240.22 : x
  2. Step 2: Convert to fraction form
    8,364.83/12,451.66 = 8,240.22/x
  3. Step 3: Cross multiply
    8,364.83x = 12,451.66 × 8,240.22
  4. Step 4: Simplify right side
    8,364.83x = 102,604,397.16
  5. Step 5: Solve for x
    x = 102,604,397.16/8,364.83
  6. Step 6: Final answer
    x = 12,266.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.