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Finding the Fourth Proportional to 8,185.47, 12,283.59 and 4,490.30

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Solution

The fourth proportional to 8,185.47, 12,283.59 and 4,490.30 is: 6,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.47 : 12,283.59 = 4,490.30 : x
  2. Step 2: Convert to fraction form
    8,185.47/12,283.59 = 4,490.30/x
  3. Step 3: Cross multiply
    8,185.47x = 12,283.59 × 4,490.30
  4. Step 4: Simplify right side
    8,185.47x = 55,156,920.31
  5. Step 5: Solve for x
    x = 55,156,920.31/8,185.47
  6. Step 6: Final answer
    x = 6,738.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.