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Finding the Fourth Proportional to 8,281.86, 11,429 and 4,505.04

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Solution

The fourth proportional to 8,281.86, 11,429 and 4,505.04 is: 6,216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.86 : 11,429 = 4,505.04 : x
  2. Step 2: Convert to fraction form
    8,281.86/11,429 = 4,505.04/x
  3. Step 3: Cross multiply
    8,281.86x = 11,429 × 4,505.04
  4. Step 4: Simplify right side
    8,281.86x = 51,488,102.16
  5. Step 5: Solve for x
    x = 51,488,102.16/8,281.86
  6. Step 6: Final answer
    x = 6,216.97

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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.