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Finding the Fourth Proportional to 8,821.64, 13,238.22 and 4,205

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Solution

The fourth proportional to 8,821.64, 13,238.22 and 4,205 is: 6,310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.64 : 13,238.22 = 4,205 : x
  2. Step 2: Convert to fraction form
    8,821.64/13,238.22 = 4,205/x
  3. Step 3: Cross multiply
    8,821.64x = 13,238.22 × 4,205
  4. Step 4: Simplify right side
    8,821.64x = 55,666,715.10
  5. Step 5: Solve for x
    x = 55,666,715.10/8,821.64
  6. Step 6: Final answer
    x = 6,310.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.