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Finding the Fourth Proportional to 7,451.96, 11,182.68 and 4,167.20

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Solution

The fourth proportional to 7,451.96, 11,182.68 and 4,167.20 is: 6,253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451.96 : 11,182.68 = 4,167.20 : x
  2. Step 2: Convert to fraction form
    7,451.96/11,182.68 = 4,167.20/x
  3. Step 3: Cross multiply
    7,451.96x = 11,182.68 × 4,167.20
  4. Step 4: Simplify right side
    7,451.96x = 46,600,464.10
  5. Step 5: Solve for x
    x = 46,600,464.10/7,451.96
  6. Step 6: Final answer
    x = 6,253.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.