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Finding the Fourth Proportional to 7,540.61, 10,406.68 and 4,184.51

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Solution

The fourth proportional to 7,540.61, 10,406.68 and 4,184.51 is: 5,774.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.61 : 10,406.68 = 4,184.51 : x
  2. Step 2: Convert to fraction form
    7,540.61/10,406.68 = 4,184.51/x
  3. Step 3: Cross multiply
    7,540.61x = 10,406.68 × 4,184.51
  4. Step 4: Simplify right side
    7,540.61x = 43,546,794.03
  5. Step 5: Solve for x
    x = 43,546,794.03/7,540.61
  6. Step 6: Final answer
    x = 5,774.97

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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.