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Finding the Fourth Proportional to 7,068.36, 9,754.56 and 3,924.78

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Solution

The fourth proportional to 7,068.36, 9,754.56 and 3,924.78 is: 5,416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,068.36 : 9,754.56 = 3,924.78 : x
  2. Step 2: Convert to fraction form
    7,068.36/9,754.56 = 3,924.78/x
  3. Step 3: Cross multiply
    7,068.36x = 9,754.56 × 3,924.78
  4. Step 4: Simplify right side
    7,068.36x = 38,284,502.00
  5. Step 5: Solve for x
    x = 38,284,502.00/7,068.36
  6. Step 6: Final answer
    x = 5,416.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.