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Finding the Fourth Proportional to 8,078.81, 11,148.53 and 4,542.21

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Solution

The fourth proportional to 8,078.81, 11,148.53 and 4,542.21 is: 6,268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.81 : 11,148.53 = 4,542.21 : x
  2. Step 2: Convert to fraction form
    8,078.81/11,148.53 = 4,542.21/x
  3. Step 3: Cross multiply
    8,078.81x = 11,148.53 × 4,542.21
  4. Step 4: Simplify right side
    8,078.81x = 50,638,941.74
  5. Step 5: Solve for x
    x = 50,638,941.74/8,078.81
  6. Step 6: Final answer
    x = 6,268.12

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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.