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Finding the Fourth Proportional to 7,924.50, 10,933.95 and 5,411.83

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Solution

The fourth proportional to 7,924.50, 10,933.95 and 5,411.83 is: 7,467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.50 : 10,933.95 = 5,411.83 : x
  2. Step 2: Convert to fraction form
    7,924.50/10,933.95 = 5,411.83/x
  3. Step 3: Cross multiply
    7,924.50x = 10,933.95 × 5,411.83
  4. Step 4: Simplify right side
    7,924.50x = 59,172,678.63
  5. Step 5: Solve for x
    x = 59,172,678.63/7,924.50
  6. Step 6: Final answer
    x = 7,467.06

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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.