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Finding the Fourth Proportional to 7,716.31, 11,574.38 and 1,872.92

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Solution

The fourth proportional to 7,716.31, 11,574.38 and 1,872.92 is: 2,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.31 : 11,574.38 = 1,872.92 : x
  2. Step 2: Convert to fraction form
    7,716.31/11,574.38 = 1,872.92/x
  3. Step 3: Cross multiply
    7,716.31x = 11,574.38 × 1,872.92
  4. Step 4: Simplify right side
    7,716.31x = 21,677,845.77
  5. Step 5: Solve for x
    x = 21,677,845.77/7,716.31
  6. Step 6: Final answer
    x = 2,809.35

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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.