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Finding the Fourth Proportional to 8,002.34, 11,042.88 and 4,644.95

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Solution

The fourth proportional to 8,002.34, 11,042.88 and 4,644.95 is: 6,409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.34 : 11,042.88 = 4,644.95 : x
  2. Step 2: Convert to fraction form
    8,002.34/11,042.88 = 4,644.95/x
  3. Step 3: Cross multiply
    8,002.34x = 11,042.88 × 4,644.95
  4. Step 4: Simplify right side
    8,002.34x = 51,293,578.95
  5. Step 5: Solve for x
    x = 51,293,578.95/8,002.34
  6. Step 6: Final answer
    x = 6,409.82

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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.