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Finding the Fourth Proportional to 7,416.51, 10,235.93 and 4,229.81

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Solution

The fourth proportional to 7,416.51, 10,235.93 and 4,229.81 is: 5,837.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416.51 : 10,235.93 = 4,229.81 : x
  2. Step 2: Convert to fraction form
    7,416.51/10,235.93 = 4,229.81/x
  3. Step 3: Cross multiply
    7,416.51x = 10,235.93 × 4,229.81
  4. Step 4: Simplify right side
    7,416.51x = 43,296,039.07
  5. Step 5: Solve for x
    x = 43,296,039.07/7,416.51
  6. Step 6: Final answer
    x = 5,837.79

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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.