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Finding the Fourth Proportional to 8,002.04, 11,042.46 and 4,644.59

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Solution

The fourth proportional to 8,002.04, 11,042.46 and 4,644.59 is: 6,409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.04 : 11,042.46 = 4,644.59 : x
  2. Step 2: Convert to fraction form
    8,002.04/11,042.46 = 4,644.59/x
  3. Step 3: Cross multiply
    8,002.04x = 11,042.46 × 4,644.59
  4. Step 4: Simplify right side
    8,002.04x = 51,287,699.29
  5. Step 5: Solve for x
    x = 51,287,699.29/8,002.04
  6. Step 6: Final answer
    x = 6,409.33

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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.