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Finding the Fourth Proportional to 8,030.29, 12,046.95 and 3,648.06

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Solution

The fourth proportional to 8,030.29, 12,046.95 and 3,648.06 is: 5,472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030.29 : 12,046.95 = 3,648.06 : x
  2. Step 2: Convert to fraction form
    8,030.29/12,046.95 = 3,648.06/x
  3. Step 3: Cross multiply
    8,030.29x = 12,046.95 × 3,648.06
  4. Step 4: Simplify right side
    8,030.29x = 43,947,996.42
  5. Step 5: Solve for x
    x = 43,947,996.42/8,030.29
  6. Step 6: Final answer
    x = 5,472.78

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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.