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Finding the Fourth Proportional to 7,412.51, 10,229.23 and 4,055.27

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Solution

The fourth proportional to 7,412.51, 10,229.23 and 4,055.27 is: 5,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.51 : 10,229.23 = 4,055.27 : x
  2. Step 2: Convert to fraction form
    7,412.51/10,229.23 = 4,055.27/x
  3. Step 3: Cross multiply
    7,412.51x = 10,229.23 × 4,055.27
  4. Step 4: Simplify right side
    7,412.51x = 41,482,228.26
  5. Step 5: Solve for x
    x = 41,482,228.26/7,412.51
  6. Step 6: Final answer
    x = 5,596.24

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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.