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Finding the Fourth Proportional to 7,412.12, 10,228.92 and 4,055.12

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Solution

The fourth proportional to 7,412.12, 10,228.92 and 4,055.12 is: 5,596.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.12 : 10,228.92 = 4,055.12 : x
  2. Step 2: Convert to fraction form
    7,412.12/10,228.92 = 4,055.12/x
  3. Step 3: Cross multiply
    7,412.12x = 10,228.92 × 4,055.12
  4. Step 4: Simplify right side
    7,412.12x = 41,479,498.07
  5. Step 5: Solve for x
    x = 41,479,498.07/7,412.12
  6. Step 6: Final answer
    x = 5,596.17

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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.