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Finding the Fourth Proportional to 7,412.84, 10,229.19 and 4,055.58

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Solution

The fourth proportional to 7,412.84, 10,229.19 and 4,055.58 is: 5,596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.84 : 10,229.19 = 4,055.58 : x
  2. Step 2: Convert to fraction form
    7,412.84/10,229.19 = 4,055.58/x
  3. Step 3: Cross multiply
    7,412.84x = 10,229.19 × 4,055.58
  4. Step 4: Simplify right side
    7,412.84x = 41,485,298.38
  5. Step 5: Solve for x
    x = 41,485,298.38/7,412.84
  6. Step 6: Final answer
    x = 5,596.41

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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.