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Finding the Fourth Proportional to 8,205.32, 11,323.59 and 4,668.86

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Solution

The fourth proportional to 8,205.32, 11,323.59 and 4,668.86 is: 6,443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.32 : 11,323.59 = 4,668.86 : x
  2. Step 2: Convert to fraction form
    8,205.32/11,323.59 = 4,668.86/x
  3. Step 3: Cross multiply
    8,205.32x = 11,323.59 × 4,668.86
  4. Step 4: Simplify right side
    8,205.32x = 52,868,256.41
  5. Step 5: Solve for x
    x = 52,868,256.41/8,205.32
  6. Step 6: Final answer
    x = 6,443.17

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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.