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Finding the Fourth Proportional to 7,412.13, 10,229.00 and 4,055.16

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Solution

The fourth proportional to 7,412.13, 10,229.00 and 4,055.16 is: 5,596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.13 : 10,229.00 = 4,055.16 : x
  2. Step 2: Convert to fraction form
    7,412.13/10,229.00 = 4,055.16/x
  3. Step 3: Cross multiply
    7,412.13x = 10,229.00 × 4,055.16
  4. Step 4: Simplify right side
    7,412.13x = 41,480,211.36
  5. Step 5: Solve for x
    x = 41,480,211.36/7,412.13
  6. Step 6: Final answer
    x = 5,596.26

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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.