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Finding the Fourth Proportional to 6,924.88, 10,384.48 and 3,412.32

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Solution

The fourth proportional to 6,924.88, 10,384.48 and 3,412.32 is: 5,117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.88 : 10,384.48 = 3,412.32 : x
  2. Step 2: Convert to fraction form
    6,924.88/10,384.48 = 3,412.32/x
  3. Step 3: Cross multiply
    6,924.88x = 10,384.48 × 3,412.32
  4. Step 4: Simplify right side
    6,924.88x = 35,435,168.79
  5. Step 5: Solve for x
    x = 35,435,168.79/6,924.88
  6. Step 6: Final answer
    x = 5,117.08

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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.