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Finding the Fourth Proportional to 7,574.23, 10,446.51 and 4,922.50

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Solution

The fourth proportional to 7,574.23, 10,446.51 and 4,922.50 is: 6,789.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.23 : 10,446.51 = 4,922.50 : x
  2. Step 2: Convert to fraction form
    7,574.23/10,446.51 = 4,922.50/x
  3. Step 3: Cross multiply
    7,574.23x = 10,446.51 × 4,922.50
  4. Step 4: Simplify right side
    7,574.23x = 51,422,945.48
  5. Step 5: Solve for x
    x = 51,422,945.48/7,574.23
  6. Step 6: Final answer
    x = 6,789.20

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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.