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Finding the Fourth Proportional to 7,540.64, 10,406.68 and 4,184.11

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Solution

The fourth proportional to 7,540.64, 10,406.68 and 4,184.11 is: 5,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.64 : 10,406.68 = 4,184.11 : x
  2. Step 2: Convert to fraction form
    7,540.64/10,406.68 = 4,184.11/x
  3. Step 3: Cross multiply
    7,540.64x = 10,406.68 × 4,184.11
  4. Step 4: Simplify right side
    7,540.64x = 43,542,693.85
  5. Step 5: Solve for x
    x = 43,542,693.85/7,540.64
  6. Step 6: Final answer
    x = 5,774.40

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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.