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Finding the Fourth Proportional to 7,541.58, 10,406.67 and 4,184.25

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Solution

The fourth proportional to 7,541.58, 10,406.67 and 4,184.25 is: 5,773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.58 : 10,406.67 = 4,184.25 : x
  2. Step 2: Convert to fraction form
    7,541.58/10,406.67 = 4,184.25/x
  3. Step 3: Cross multiply
    7,541.58x = 10,406.67 × 4,184.25
  4. Step 4: Simplify right side
    7,541.58x = 43,544,108.95
  5. Step 5: Solve for x
    x = 43,544,108.95/7,541.58
  6. Step 6: Final answer
    x = 5,773.87

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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.