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Finding the Fourth Proportional to 7,471.57, 11,208.04 and 1,924.93

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Solution

The fourth proportional to 7,471.57, 11,208.04 and 1,924.93 is: 2,887.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.57 : 11,208.04 = 1,924.93 : x
  2. Step 2: Convert to fraction form
    7,471.57/11,208.04 = 1,924.93/x
  3. Step 3: Cross multiply
    7,471.57x = 11,208.04 × 1,924.93
  4. Step 4: Simplify right side
    7,471.57x = 21,574,701.63
  5. Step 5: Solve for x
    x = 21,574,701.63/7,471.57
  6. Step 6: Final answer
    x = 2,887.57

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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.