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Finding the Fourth Proportional to 8,203.84, 11,322.27 and 4,618.91

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Solution

The fourth proportional to 8,203.84, 11,322.27 and 4,618.91 is: 6,374.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.84 : 11,322.27 = 4,618.91 : x
  2. Step 2: Convert to fraction form
    8,203.84/11,322.27 = 4,618.91/x
  3. Step 3: Cross multiply
    8,203.84x = 11,322.27 × 4,618.91
  4. Step 4: Simplify right side
    8,203.84x = 52,296,574.43
  5. Step 5: Solve for x
    x = 52,296,574.43/8,203.84
  6. Step 6: Final answer
    x = 6,374.65

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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.