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Finding the Fourth Proportional to 7,410.96, 10,227.38 and 4,054.08

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Solution

The fourth proportional to 7,410.96, 10,227.38 and 4,054.08 is: 5,594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,410.96 : 10,227.38 = 4,054.08 : x
  2. Step 2: Convert to fraction form
    7,410.96/10,227.38 = 4,054.08/x
  3. Step 3: Cross multiply
    7,410.96x = 10,227.38 × 4,054.08
  4. Step 4: Simplify right side
    7,410.96x = 41,462,616.71
  5. Step 5: Solve for x
    x = 41,462,616.71/7,410.96
  6. Step 6: Final answer
    x = 5,594.77

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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.