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Finding the Fourth Proportional to 7,471.36, 11,206.44 and 1,924.72

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Solution

The fourth proportional to 7,471.36, 11,206.44 and 1,924.72 is: 2,886.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.36 : 11,206.44 = 1,924.72 : x
  2. Step 2: Convert to fraction form
    7,471.36/11,206.44 = 1,924.72/x
  3. Step 3: Cross multiply
    7,471.36x = 11,206.44 × 1,924.72
  4. Step 4: Simplify right side
    7,471.36x = 21,569,259.20
  5. Step 5: Solve for x
    x = 21,569,259.20/7,471.36
  6. Step 6: Final answer
    x = 2,886.93

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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.