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Finding the Fourth Proportional to 7,974.50, 11,004.63 and 4,437.64

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Solution

The fourth proportional to 7,974.50, 11,004.63 and 4,437.64 is: 6,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.50 : 11,004.63 = 4,437.64 : x
  2. Step 2: Convert to fraction form
    7,974.50/11,004.63 = 4,437.64/x
  3. Step 3: Cross multiply
    7,974.50x = 11,004.63 × 4,437.64
  4. Step 4: Simplify right side
    7,974.50x = 48,834,542.12
  5. Step 5: Solve for x
    x = 48,834,542.12/7,974.50
  6. Step 6: Final answer
    x = 6,123.84

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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.