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Finding the Fourth Proportional to 6,924.39, 10,384.16 and 4,287.84

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Solution

The fourth proportional to 6,924.39, 10,384.16 and 4,287.84 is: 6,430.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.39 : 10,384.16 = 4,287.84 : x
  2. Step 2: Convert to fraction form
    6,924.39/10,384.16 = 4,287.84/x
  3. Step 3: Cross multiply
    6,924.39x = 10,384.16 × 4,287.84
  4. Step 4: Simplify right side
    6,924.39x = 44,525,595.18
  5. Step 5: Solve for x
    x = 44,525,595.18/6,924.39
  6. Step 6: Final answer
    x = 6,430.26

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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.