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Finding the Fourth Proportional to 7,974.29, 11,004.69 and 4,437.73

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Solution

The fourth proportional to 7,974.29, 11,004.69 and 4,437.73 is: 6,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.29 : 11,004.69 = 4,437.73 : x
  2. Step 2: Convert to fraction form
    7,974.29/11,004.69 = 4,437.73/x
  3. Step 3: Cross multiply
    7,974.29x = 11,004.69 × 4,437.73
  4. Step 4: Simplify right side
    7,974.29x = 48,835,873.35
  5. Step 5: Solve for x
    x = 48,835,873.35/7,974.29
  6. Step 6: Final answer
    x = 6,124.16

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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.