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Finding the Fourth Proportional to 8,205.21, 11,322.95 and 4,668.93

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Solution

The fourth proportional to 8,205.21, 11,322.95 and 4,668.93 is: 6,442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.21 : 11,322.95 = 4,668.93 : x
  2. Step 2: Convert to fraction form
    8,205.21/11,322.95 = 4,668.93/x
  3. Step 3: Cross multiply
    8,205.21x = 11,322.95 × 4,668.93
  4. Step 4: Simplify right side
    8,205.21x = 52,866,037.60
  5. Step 5: Solve for x
    x = 52,866,037.60/8,205.21
  6. Step 6: Final answer
    x = 6,442.98

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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.