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Finding the Fourth Proportional to 7,541.41, 10,407.17 and 4,184.29

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Solution

The fourth proportional to 7,541.41, 10,407.17 and 4,184.29 is: 5,774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.41 : 10,407.17 = 4,184.29 : x
  2. Step 2: Convert to fraction form
    7,541.41/10,407.17 = 4,184.29/x
  3. Step 3: Cross multiply
    7,541.41x = 10,407.17 × 4,184.29
  4. Step 4: Simplify right side
    7,541.41x = 43,546,617.36
  5. Step 5: Solve for x
    x = 43,546,617.36/7,541.41
  6. Step 6: Final answer
    x = 5,774.33

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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.